Now, 
We know that a determinant of a 3 x 3 matrix is calculated as
= 3[1 – (-2)(3)] + 4[1 – (-2)(2)] + 5[3-2]
= 3[1 + 6] + 4[1 + 4] + 5[1]
= 3[7] + 4[5] + 5
= 21 + 20 + 5
= 46
The determinant of the above matrix is 46.
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