Answer the following with True or False. If false, offer an explanation. The explanation is required for full credit! (a) A (4 × 3) matrix can be multiplied by a (3 × 10) matrix. (b) Matrix...

Answer the following with True or False. If false, offer an explanation. The explanation is required for full credit! (a) A (4 × 3) matrix can be multiplied by a (3 × 10) matrix. (b) Matrix multiplication is generally commutative (that is AB = BA is always true). (c) Gauss-Jordan row reduction can be used to solve a system of equations with two equations and two unknowns. (d) There are two possible solution types for systems of equations: inconsistent and redundant. (e) It is impossible for a (3×2) matrix to be multiplied by any other matrix and remain the same, in both size and entries.