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This is a short answer type question as classified in NCERT Exemplar

$\begin{array}{l}GiventhatA=\left[\begin{array}{cc}\hfill 5\hfill & \hfill 3\hfill \\ \hfill -1\hfill & \hfill -2\hfill \end{array}\right]\\ A^2=A.A\\ =\left[\begin{array}{cc}\hfill 5\hfill & \hfill 3\hfill \\ \hfill -1\hfill & \hfill -2\hfill \end{array}\right]\left[\begin{array}{cc}\hfill 5\hfill & \hfill 3\hfill \\ \hfill -1\hfill & \hfill -2\hfill \end{array}\right]=\left[\begin{array}{cc}\hfill 25-3\hfill & \hfill 15-6\hfill \\ \hfill -5+2\hfill & \hfill -3+4\hfill \end{array}\right]=\left[\begin{array}{cc}\hfill 22\hfill & \hfill 9\hfill \\ \hfill -3\hfill & \hfill 1\hfill \end{array}\right]\\ A^2-3A-7I=0\\ L.H.S.\left[\begin{array}{cc}\hfill 22\hfill & \hfill 9\hfill \\ \hfill -3\hfill & \hfill 1\hfill \end{array}\right]-3\left[\begin{array}{cc}\hfill 5\hfill & \hfill 3\hfill \\ \hfill -1\hfill & \hfill -2\hfill \end{array}\right]-7\left[\begin{array}{cc}\hfill 1\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill 1\hfill \end{array}\right]\\ \Rightarrow \left[\begin{array}{cc}\hfill 22\hfill & \hfill 9\hfill \\ \hfill -3\hfill & \hfill 1\hfill \end{array}\right]-\left[\begin{array}{cc}\hfill 15\hfill & \hfill 9\hfill \\ \hfill -3\hfill & \hfill -6\hfill \end{array}\right]-\left[\begin{array}{cc}\hfill 7\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill 7\hfill \end{array}\right]\\ \Rightarrow \left[\begin{array}{cc}\hfill 22-15-7\hfill & \hfill 9-9-0\hfill \\ \hfill -3+3-0\hfill & \hfill 1+6-7\hfill \end{array}\right]\Rightarrow \left[\begin{array}{cc}\hfill 0\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill 0\hfill \end{array}\right]R.H.S.\\ Wearegiven{A}^2-3A-7I=0\\ \Rightarrow A^{-1}\left[A^2-3A-7I\right]=A^{-1}0\left[Pre-multiplyingbothsidesby{A}^{-1}\right]\\ \Rightarrow A^{-1}A.A-3A^{-1}.A-7A^{-1}I=0\left[A^{-1}0=0\right]\\ \Rightarrow I.A-3I-7A^{-1}I=0\\ \Rightarrow A-3I-7A^{-1}=0\\ \Rightarrow -7A^{-1}=3I-A\\ \Rightarrow A^{-1}=\frac{1}{-7}\left[3I-A\right]\\ \Rightarrow A^{-1}=\frac{1}{-7}\left[3\left(\begin{array}{cc}\hfill 1\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill 1\hfill \end{array}\right)-\left[\begin{array}{cc}\hfill 5\hfill & \hfill 3\hfill \\ \hfill -1\hfill & \hfill -2\hfill \end{array}\right]\right]\\ =\frac{1}{-7}\left[\left(\begin{array}{cc}\hfill 3\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill 3\hfill \end{array}\right)-\left[\begin{array}{cc}\hfill 5\hfill & \hfill 3\hfill \\ \hfill -1\hfill & \hfill -2\hfill \end{array}\right]\right]\\ =\frac{1}{-7}\left[\begin{array}{cc}\hfill 3-5\hfill & \hfill 0-3\hfill \\ \hfill 0+1\hfill & \hfill 3+2\hfill \end{array}\right]=\frac{1}{-7}\left[\begin{array}{cc}\hfill -2\hfill & \hfill -3\hfill \\ \hfill 1\hfill & \hfill 5\hfill \end{array}\right]\\ Hence,A^{-1}=\frac{1}{-7}\left[\begin{array}{cc}\hfill -2\hfill & \hfill -3\hfill \\ \hfill 1\hfill & \hfill 5\hfill \end{array}\right]\end{array}$

Yes, passing Class 12 or an equivalent exam with at least 45% marks in Physics, Chemistry, and Mathematics is mandatory for admission to the BTech course at PK University. This eligibility criterion applies to all specialisations offered under the BTech programme at the university.

Some of the popular courses offered by ISBM University are as follows: 

• BBA LLB
• BTech 
• MBA 
• MSc
• BCA
• BA
• BCom

Candidates are required to follow the admission process to get the shortlist for their desired programme. Candidates can learn more about the courses offered by ISBM University through the official website of the university. 

Yes, the application process for Ahmedabad Institute of Hospitality Management is conducted offline as well. The candidates can visit the admission office of the institute and submit the application form there. They need to carry all the required documents, both scanned copies and original ones.

No, PK University does not require an entrance exam for BTech admission. Students are selected based on their Class 12 academic performance and eligibility criteria. This makes the admission process straightforward and accessible for students from diverse educational backgrounds.

Yes, PK University offers a BTech course with a duration of 3 to 4 years. The programme is divided into six to eight semesters and includes a lateral entry option. Specialisations include Computer Science, Information Technology, Electronics and Communication, and Chemical Engineering, providing students with practical and industry-aligned education.

Check out the BBA and MBA placement rates during SOM, BML Munjal University placements between 2022 and 2024 from the table below:

Before applying for BTech at PK University, students should consider factors like available specialisations, practical learning opportunities, faculty experience, placement support, campus infrastructure, and industry tie-ups. Comparing these elements with other colleges helps students make an informed and future-focused academic decision.

The admission process for the ISBM University is as follows: 

Step 1: Filling out the online application form and paying the application fee of INR 900. The form can also be downloaded and sent to the campus. 

Step 2: Candidates are shortlisted based on various criteria. 

Step 3: Shortlisted candidates receive the final admission offer. 

Step 4: Candidates must pay the course fee and secure their admissions. 

This is a short answer type question as classified in NCERT Exemplar

Jyothy Institute of Commerce and Management offers students with management courses. In the post graduation level, MBA programme is delivered for the curious students. The JICM offers admission on the basis of score achieved in the accepted entrance exams. It is also important to meet the eligibility criteria as well for admission.

BTech tuition fee at PK University is approximately INR 2 Lakh, which is lower than Lakshmi Narain College of Technology (INR 2.39–3.52 Lakh) but higher than IES College of Technology (INR 1.1–1.2 Lakh). This mid-range fee makes PK University a balanced option for affordability and quality.

This is a short answer type question as classified in NCERT Exemplar

$\begin{array}{l}GiventhatA=\left[\begin{array}{cc}\hfill 0\hfill & \hfill 1\hfill \\ \hfill 1\hfill & \hfill 1\hfill \end{array}\right]andB=\left[\begin{array}{cc}\hfill 0\hfill & \hfill -1\hfill \\ \hfill 1\hfill & \hfill 0\hfill \end{array}\right]\\ A+B=\left[\begin{array}{cc}\hfill 0\hfill & \hfill 1\hfill \\ \hfill 1\hfill & \hfill 1\hfill \end{array}\right]+\left[\begin{array}{cc}\hfill 0\hfill & \hfill -1\hfill \\ \hfill 1\hfill & \hfill 0\hfill \end{array}\right]\\ \Rightarrow A+B=\left[\begin{array}{cc}\hfill 0+0\hfill & \hfill 1-1\hfill \\ \hfill 1+1\hfill & \hfill 1+0\hfill \end{array}\right]\Rightarrow A+B=\left[\begin{array}{cc}\hfill 0\hfill & \hfill 0\hfill \\ \hfill 2\hfill & \hfill 1\hfill \end{array}\right]\\ A-B=\left[\begin{array}{cc}\hfill 0\hfill & \hfill 1\hfill \\ \hfill 1\hfill & \hfill 1\hfill \end{array}\right]-\left[\begin{array}{cc}\hfill 0\hfill & \hfill -1\hfill \\ \hfill 1\hfill & \hfill 0\hfill \end{array}\right]\\ \Rightarrow A-B=\left[\begin{array}{cc}\hfill 0-0\hfill & \hfill 1+1\hfill \\ \hfill 1-1\hfill & \hfill 1-0\hfill \end{array}\right]\Rightarrow A-B=\left[\begin{array}{cc}\hfill 0\hfill & \hfill 2\hfill \\ \hfill 0\hfill & \hfill 1\hfill \end{array}\right]\\ \therefore \left(A+B\right).\left(A-B\right)=\left[\begin{array}{cc}\hfill 0\hfill & \hfill 0\hfill \\ \hfill 2\hfill & \hfill 1\hfill \end{array}\right]\left[\begin{array}{cc}\hfill 0\hfill & \hfill 2\hfill \\ \hfill 0\hfill & \hfill 1\hfill \end{array}\right]=\left[\begin{array}{cc}\hfill 0+0\hfill & \hfill 0+0\hfill \\ \hfill 0+0\hfill & \hfill 4+1\hfill \end{array}\right]=\left[\begin{array}{cc}\hfill 0\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill 5\hfill \end{array}\right]\\ Now,R.H.S.=A^2-B^2\\ =A.A-B.B\\ =\left[\begin{array}{cc}\hfill 0\hfill & \hfill 1\hfill \\ \hfill 1\hfill & \hfill 1\hfill \end{array}\right]\left[\begin{array}{cc}\hfill 0\hfill & \hfill 1\hfill \\ \hfill 1\hfill & \hfill 1\hfill \end{array}\right]-\left[\begin{array}{cc}\hfill 0\hfill & \hfill -1\hfill \\ \hfill 1\hfill & \hfill 0\hfill \end{array}\right]\left[\begin{array}{cc}\hfill 0\hfill & \hfill -1\hfill \\ \hfill 1\hfill & \hfill 0\hfill \end{array}\right]\\ =\left[\begin{array}{cc}\hfill 0+1\hfill & \hfill 0+1\hfill \\ \hfill 0+1\hfill & \hfill 1+1\hfill \end{array}\right]-\left[\begin{array}{cc}\hfill 0-1\hfill & \hfill 0+0\hfill \\ \hfill 0+0\hfill & \hfill -1+0\hfill \end{array}\right]\\ =\left[\begin{array}{cc}\hfill 1\hfill & \hfill 1\hfill \\ \hfill 1\hfill & \hfill 2\hfill \end{array}\right]-\left[\begin{array}{cc}\hfill -1\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill -1\hfill \end{array}\right]=\left[\begin{array}{cc}\hfill 1+1\hfill & \hfill 1-0\hfill \\ \hfill 1-0\hfill & \hfill 2+1\hfill \end{array}\right]=\left[\begin{array}{cc}\hfill 2\hfill & \hfill 1\hfill \\ \hfill 1\hfill & \hfill 3\hfill \end{array}\right]\\ Hence,\left[\begin{array}{cc}\hfill 0\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill 5\hfill \end{array}\right]\ne \left[\begin{array}{cc}\hfill 2\hfill & \hfill 1\hfill \\ \hfill 1\hfill & \hfill 3\hfill \end{array}\right]\\ Hence,\left(A+B\right).\left(A-B\right)\ne A^2-B^2\end{array}$

For the MBA/PGDM Marketing and Sales Management course, Ahmedabad Institute of Hospitality Management offers 60 seats. However, this might or might not change which totally depends on the institute or higher authorities. To confirm their seats, candidates have to pay the tuition fee or a specific amount after getting selected.

The School of Management BML Munjal University has been providing good placements to its students since the very beginning. For more information on placement packages for the SOM, BML Munjal University placements between 2024 and 2025, refer to the table below:

Below are the various comparison points between School of Management, CMR University and ABBS Bangalore:

1. Rankings: School of Management, CMR University has been ranked #170 by India Today 2023. On the other hand, ABBS Bangalore is ranked 61st in Top B-Schools by IIRF 2024.
2. Tuition Fees: The tuition fees at School of Management, CMR University is INR 3.15 L - 3.45 L, while the total tuition fees at ABBS Bangalore is INR 3.75 L - 4.5 L.
3. Placements: The median package at School of Management, CMR University is INR 3.2 LPA. At ABBS Bangalore, the median salary is INR 6.12 LPA.

All though all the selection criteria are equally important for getting admission in Ahmedabad Institute of Hospitality Management, but the one that has been given the most amount of weightage by the institute for merit is the group discussion and personal interview round, i.e. 40%.

The fees of MBA/PGDM Financial Management at Ahmedabad Institute of Hospitality Management is around 4 Lakh. It is a full-time course and is for a duration of two years. Candidates must fill the eligibility criteria and apply online or offline as per their preference for the course.

For taking admission in Ahmedabad Institute of Hospitality Management, candidates have to apply online on the institute's official website. The application process is both online and offline. All the necessary details need to be filled carefully since any mistake in this might lead to rejection of the form.

Before being allowed to study at Pearl Academy Rajouri Garden, candidates have to pass through each of the admission stages. The procedure is going to be online registration, local tests, selection rounds, and then confirmation of admission. Below is the data showing the list of courses with their eligibility, from which students can make their decision.

• BDes Students should complete HSC. 
• MDes: Should have a degree in any stream from.