Consider the following argument. Suppose LM = I. ° Then LML = IL = L. Regrouping L(ML) = L Consequently ML = I • So every left inverse is a right inverse. Explain why this is NOT true. Suggestion: Given a specific matrix L, can you find a non-identity matrix A where LA=L? (This question will be graded after the assignment due date) Given a matrix M, a left inverse is a matrix L where LM = I, the identity matrix of the appropriate size. Suppose M is a 4 x 5 matrix. A left inverse L, if it exists, must have dimensions X If LM = I, can LML be found? If it can be, what is it? If it can't be, why not? (This question will be graded after the assignment due date)

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