CBSE Class 12 Math 2023 All Sets Solved Paper

Question : 18 of 20

Marks: +1, -0

If | A | = | kA | , where A is a square matrix of order 2, then sum of all possible values of k is:

Solution:

\left| kA \right| = k^2 \left| A \right|

k^2 \left| A \right| = \left| A \right|

(given)

\Rightarrow k^2 = 1

\Rightarrow k = \pm 1

∴ Sum of all possibe values of k is 0.

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