Consider the given matrix. Find det(A) using cofactor expansion. Find adj(A). Find A^-1. Hence, solve the following system of equations using matrix inversion. x + y + z = 4 3x - 5y - 12z = 0 x + y + 23z = 0
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Step 1: Find det(A) using cofactor expansion To find the determinant of A, we can use cofactor expansion along the first row: det(A) = 1(2(4-(-1))-3(3-(-1))+1(2(-5)-(-1)(-2))) = 1(18) + 3(4) + 1(8) = 34 Therefore, det(A) = 34. Show more…
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