Find the Inverse [[4,7],[8,14]]

Problem

[[4,7],[8,14]]

Solution

1. Identify the matrix A and its elements a=4 b=7 c=8 and d=14

2. Calculate the determinant of the matrix using the formula det(A)=a*d−b*c

det(A)=(4)*(14)−(7)*(8)

3. Simplify the arithmetic to find the value of the determinant.

det(A)=56−56

det(A)=0

4. Conclude that because the determinant is equal to zero, the matrix is singular and does not have an inverse.

Final Answer

The matrix *[[4,7],[8,14]]* is singular and has no inverse.

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