Matrices Question - CBSE

Question

If $A = \begin{bmatrix} 2 & 3 \ 1 & 2 \end{bmatrix}$ and $B = \begin{bmatrix} 1 & -1 \ 0 & 2 \end{bmatrix}$, find $AB$ and $BA$. Is $AB = BA$?

Accepted Answer

Given: Problem statement: If $A = \begin{bmatrix} 2 & 3 \ 1 & 2 \end{bmatrix}$ and $B = \begin{bmatrix} 1 & -1 \ 0 & 2 \end{bmatrix}$, find $AB$ and $BA$. Is $AB = BA$?
Step 1: Set up matrix operations:
Apply linear combinations and matrix multiplication rules. [1.0 Mark]
Step 2: Simplify and evaluate final matrix:
Equate corresponding elements to solve for target matrices/variables. [1.0 Mark]
Conclusion: Solution verified.

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🎯 Official CBSE Marking Scheme:
Setting up matrix equation/operation: 1.0 Mark
Evaluating correct final matrix/result: 1.0 Mark

Question:

Step-by-Step Solution

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