Home > Matrices > CBSE > 1ed9c173-bd8f-4ee3-890a-d116d35a8015

Not the exact question you were looking for?

Paste your question to our Mathbee AI Mentor below to get an instant step-by-step solution.

Matrices

Oswaal

CBSE

Grade 12

Question:

If $A = \begin{bmatrix} 2 & -2 \\ -2 & 2 \end{bmatrix}$ and $A^2 = p A$, then $p$ is:
(a) $4$
(b) $2$
(c) $8$
(d) $-4$

Step-by-Step Solution

Key Concept: A^2 = \begin{bmatrix} 8 & -8 \\ -8 & 8 \end{bmatrix} = 4 A => p = 4.

The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.

Correct Answer: $4$

Mathbee AI Mentor (Free Demo)

Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.