Solveeit Logo
Login

Question

Question: Matrix A =\(\begin{bmatrix} x & 3 & 2 \\ 1 & y & 4 \\ 2 & 2 & z \end{bmatrix}\), If xyz = 60 and 8x...

Matrix A =[x321y422z]\begin{bmatrix} x & 3 & 2 \\ 1 & y & 4 \\ 2 & 2 & z \end{bmatrix}, If xyz = 60 and

8x + 4y + 3z = 20, then A(adj A) is equal to:

A

[640006400064]\begin{bmatrix} 64 & 0 & 0 \\ 0 & 64 & 0 \\ 0 & 0 & 64 \end{bmatrix}

B

[880008800088]\begin{bmatrix} 88 & 0 & 0 \\ 0 & 88 & 0 \\ 0 & 0 & 88 \end{bmatrix}

C

[680006800068]\begin{bmatrix} 68 & 0 & 0 \\ 0 & 68 & 0 \\ 0 & 0 & 68 \end{bmatrix}

D

[340003400034]\begin{bmatrix} 34 & 0 & 0 \\ 0 & 34 & 0 \\ 0 & 0 & 34 \end{bmatrix}

Answer

[680006800068]\begin{bmatrix} 68 & 0 & 0 \\ 0 & 68 & 0 \\ 0 & 0 & 68 \end{bmatrix}

Explanation

Solution

Q |A| = 68

\ A (adj A) = |A|. I