AP ICET 2024 6th May 2024 Shift 1

The determinant of a matrix is scaled by the factor of the scalar raised to the power of the size of the matrix. That is, for a matrix $A$, and a scalar $k$,$\left|kA\right| = k^n \left|A\right|,$where $n$ is the order of the matrix. In this case, $n=3$, so:$\left|5A\right| = 5^3 \left|A\right| = 125 \left|A\right|$Quick TipWhen multiplying a matrix by a scalar, the determinant is multiplied by the scalar raised to the power of the matrix's order.