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If $|A| = |kA|$, where $A$ is a square matrix of order 2, then sum of all possible values of $k$ is: |
$1$ $-1$ $2$ $0$ |
$0$ |
The correct answer is Option (4) → $0$ ## $|A| = |kA|$ $|A| = k^n |A|$ where $n$ is the order of matrix. $1 = k^n$ $k^2 = 1$ $⇒k = \pm 1$ Sum of all values of $k = +1 - 1 = 0$ |
