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(Solved): Let A=(acbd). Let E be a 22 replacement matrix. Namely, E=(10k1) or E=(1k01) f ...

Let \( A=\left(\begin{array}{ll}a & b \\ c & d\end{array}\right) \). Let \( E \) be a \( 2 \times 2 \) replacement matrix. Na

Let . Let be a replacement matrix. Namely, or for some real number . Show that and that , without using the multiplicative property of determinants.

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given that A=[abcd]E be a 2×2 replacement matrixE=[1k01]for some real number k.we prove det(
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