Find the det(M) and that will offer you an expression entailing k. Then collection that expression same to 0 in bespeak to find the value of k.

You are watching: Find k such that the matrix is singular

det(M)= 4<(-7)(-42)-(-15)(-20)> - 2<(-12)(-42)-(-15)(-44+k)> +4<(-12)(-20)-(-15)(-44+k)>

= 4(-6) -2(15k-156) +4(7k-68)

= -2k+16

Since the matrix is singular det(M)=0

-2k+16 =0

k=8

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