A step by step worksheet to calculate the inverse of a 3 by 3 matrix is presented and as many practice questions as needed may be generated along with their solutions.">
Solve each step below then click on "Show me" to check your answer.
Step by step solution
STEP 1: - Calcuate the determinant D of the given matrix. If D = 0, matrix A has non inverse.
STEP 2: - Determine the minors of the given matrix A and write down the matrix M of minors (How? for each element in the given matrix, ignore the row and column containing that elelemnt and calculate the determinant of the remaining smalller matrix).
STEP 3: - Determine C, the matrix of cofactors (Using the chart of signs shown below and matrix M to change the sign of any element in M if it corresponds to a minus sign in the chart.)