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Explain how to find the inverse of a2×2 matrix.

Short Answer

Expert verified

The inverse of2×2 matrix A=[abcd]is given byA-1=1ad-bc[d-b-ca] and ad-bc≠0.

Step by step solution

01

­- Description of step.

A2×2 matrix means the matrix is having two rows and two columns.

02

­- Definition of inverse of matrix.

A square matrixB is said to be an inverse of the square matrixA ifAB=BA=I where I is an identity matrix of the same order as that of matrix Aor B.

03

­- Description of step. 

The inverse of2×2 matrix A=[abcd]is given by A−1=1ad−bc[d−b−ca]and ad−bc≠0.

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