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Maths Class 12th Matrices Exemplar Solution Maths NCERT Exemplar Solutions Class 12th Chapter Three

If $A = [\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}]$ , then $A^{2}$ is equal to

(A) $[\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}]$

(B) $[\begin{matrix} 1 & 0 \\ 1 & 0 \end{matrix}]$

(C) $[\begin{matrix} 0 & 1 \\ 0 & 1 \end{matrix}]$

(D) $[\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}]$

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Payal Gupta | Contributor-Level 10

2 months ago

This is an Objective Type Questions as classified in NCERT Exemplar

$\begin{array}{l} G i v e n t h a t A = [\begin{matrix} 0 & 1 \\ 1 & 0 \end{matrix}] \\ A^{2} = A . A = [\begin{matrix} 0 & 1 \\ 1 & 0 \end{matrix}] [\begin{matrix} 0 & 1 \\ 1 & 0 \end{matrix}] = [\begin{matrix} 0 + 1 & 0 + 0 \\ 0 + 0 & 1 + 0 \end{matrix}] = [\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}] \\ H e n c e, t h e c o r r e c t o p t i o n i s (d) . \end{array}$

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If $A [\begin{matrix} 1 & 0 & 1 \end{matrix}] = 2 [\begin{matrix} 1 & 0 & 1 \end{matrix}]$ , $A [\begin{matrix} - 1 & 0 & 1 \end{matrix}] = 4 [\begin{matrix} - 1 & 0 & 1 \end{matrix}]$ and $A [\begin{matrix} 0 & 1 & 0 \end{matrix}] = 2 [\begin{matrix} 1 & 0 & 0 \end{matrix}]$ where, A is a 3 × 3 matrix and (A –3I) $[\begin{matrix} x & y & z \end{matrix}] = [\begin{matrix} - 1 & 2 & 3 \end{matrix}]$ then the value of (x, y, z) is

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Let $A = [\begin{matrix} x_{1} & y_{1} & z_{1} \\ x_{2} & y_{2} & z_{2} \\ x_{3} & y_{3} & z_{3} \end{matrix}]$

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Let $A = [\begin{matrix} x_{1} & y_{1} & z_{1} \\ x_{2} & y_{2} & z_{2} \\ x_{3} & y_{3} & z_{3} \end{matrix}]$

Given $A = [\begin{matrix} 1 & 0 & 1 \end{matrix}] = [\begin{matrix} 2 & 0 & 2 \end{matrix}]$ ...(1)

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If $A = [\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}]$ , then $A^{2}$ is equal to

(A) $[\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}]$

(B) $[\begin{matrix} 1 & 0 \\ 1 & 0 \end{matrix}]$

(C) $[\begin{matrix} 0 & 1 \\ 0 & 1 \end{matrix}]$

(D) $[\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}]$

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If A=[1001] , then A2 is equal to (A) [ 1 0 0 1 ] (B) [ 1 0 1 0 ] (C) [ 0 1 0 1 ] (D) [ 1 0 0 1 ]

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If $A = [\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}]$ , then $A^{2}$ is equal to

(A) $[\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}]$

(B) $[\begin{matrix} 1 & 0 \\ 1 & 0 \end{matrix}]$

(C) $[\begin{matrix} 0 & 1 \\ 0 & 1 \end{matrix}]$

(D) $[\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}]$