# What is the easiest way to find the inverse of a 3×3 matrix?

## What is the easiest way to find the inverse of a 3×3 matrix?

Step – 2: Find det A. Step – 3: Apply the inverse of 3×3 matrix formula A-1 = (adj A)/(det A). i.e., divide every element of adj A by det A. = ⎡⎢⎣3/161/4−5/161/401/4−5/161/43/16⎤⎥⎦ [ 3 / 16 1 / 4 − 5 / 16 1 / 4 0 1 / 4 − 5 / 16 1 / 4 3 / 16 ] .

Can a 3×2 and 3×3 matrix be multiplied?

Multiplication of 3×3 and 3×2 matrices is possible and the result matrix is a 3×2 matrix. This calculator can instantly multiply two matrices and show a step-by-step solution.

Can a 3×3 and 2×3 matrix be multiplied?

Multiplication of 2×3 and 3×3 matrices is possible and the result matrix is a 2×3 matrix.

### How do you solve an inverse matrix?

– Estimate the determinant of the given matrix – Find the transpose of the given matrix – Calculate the determinant of 2 x 2 matrix. – Prepare the matrix of cofactors – At the last, divide each term of the adjugate matrix by the determinant

How do you calculate the inverse of a matrix?

Calculate the minor for the given matrix.

• Turn the obtained matrix into the matrix of cofactors.