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Question

Mathematics Question on Matrices

If A=[10\[0.3em]15\[0.3em]]A= \begin{bmatrix}1 & 0 \\\[0.3em]-1 & 5 \\\[0.3em] \end{bmatrix} and I=[10\[0.3em]01\[0.3em]]I= \begin{bmatrix}1& 0\\\[0.3em]0& 1\\\[0.3em] \end{bmatrix} then the value of k so that A2=6A+kIA^2 = 6A + kI is given by:

A

5

B

-5

C

-6

D

6

Answer

-5

Explanation

Solution

The correct option is (B): -5