1. True or False? Justify all answers. a. A system of 4 linear equations in 3 unknowns has no solutions. True or False, Justify the answer. b. There exist three planes in R³ which intersect in exactly three points. True or False, Justify the answer. c. If u, v and w are linearly dependent, then w can be written as linear combination of u and v. True or False, Justify the answer. d. Let A be a 4 x 5 matrix. Then the column vectors of A are linearly dependent. True or False, Justify the answer. e. f. If u is in span{v, w} then u is in span{v+w, w - v}. True or False, Justify the answer. let A, B be two matrices. If (A - B)² = A² - 2AB + B², then AB = BA. True or False, Justify the answer. g. If A and B are symmetric matrices, then AB is a symmetric matrix. True or False, Justify the answer.

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