Matrices
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
If $A = \begin{bmatrix} 2 & 0 & 1 \\ 2 & 1 & 3 \\ 1 & -1 & 0 \end{bmatrix}$, find $A^2 - 5A + 6I$.
Step-by-Step Solution
Given: Problem statement: If $A = \begin{bmatrix} 2 & 0 & 1 \\ 2 & 1 & 3 \\ 1 & -1 & 0 \end{bmatrix}$, find $A^2 - 5A + 6I$.
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
Correct Answer:
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