Problem

Find the determinant of the following 3x3 matrix: A=[123456789]

Answer

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Answer

Simplify the above expression to get the final answer: det(A)=0

Steps

Step 1 :First, we can use the formula for the determinant of a 3x3 matrix: det(A)=aei+bfg+cdhcegbdiafh where a, b, c, d, e, f, g, h, i are the elements of the matrix.

Step 2 :Substitute the elements of the matrix into the formula: det(A)=(159)+(267)+(348)(357)(249)(168)

Step 3 :Calculate the above expression: det(A)=45+84+961057248

Step 4 :Simplify the above expression to get the final answer: det(A)=0

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