If matrix A = {{x,2},{3,-2}} has a determinant |A| = -8, and matrix B = {{2,4},{4,1}} is given, the product of A and B is: {{x,2},{3,-2}} {{2,4},{4,1}} = {{10,6},{y,10}} Find the values of x and y.
Added by Linda C.
Step 1
The determinant of matrix A = {{x, 2}, {3, -2}} is given by the formula: \[ |A| = (x)(-2) - (2)(3) = -2x - 6 \] We know that |A| = -8, so we set up the equation: \[ -2x - 6 = -8 \] Show more…
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