Lesson Plan

Explain what it means for a 2x2 matrix to have an inverse: A^-^1 such that AA^-^1 = A^-^1A = I

Compute the inverse of a 2x2 matrix using the formula A^-^1 = (1/det(A)) * [d -b; -c a] where A = [a b; c d] and det(A) = ad - bc

Determine whether a matrix is invertible by checking whether the determinant is nonzero

Use the matrix inverse to solve the system Ax = b: compute x = A^-^1b

Use technology (graphing calculator or software) to find inverses and solve matrix equations for 3x3 and larger matrices

HSA.REI.C.9