solve at least a to d subparts.if you dnt solve skip for another True-False ExercisesTF. In parts (a)-(k) determine whether the statement is true orfalse, and justify your answer.(a) Two n x n matrices, A and B, are inverses of one another ifand only if AB = BA = 0.(b) For all square matrices A and B of the same size, it is true that(A + B) = A² + 2AB + B².(c) For all square matrices A and B of the same size, it is true thatA? - B² = (A – B)(A + B).(d) If A and B are invertible matrices of the same size, then AB isinvertible and (AB)-' = A-'B-'.(e) If A and B are matrices such that AB is defined, then it is truethat (AB)" = A'B".(f) The matrixA =is invertible if and only if ad – bc + 0.(g) If A and B are matrices of the same size and k is a constant,then (kA + B)" = kA" + B" .(h) If A is an invertible matrix, then so is A".(1) If p(x) = a, +a;x + azx² + ...+amx" and I is an identitymatrix, then p(1) = ao +a¡ +az + •·+ au-(j) A square matrix containing a row or column of zeros cannotbe invertible.(k) The sum of two invertible matrices of the same size must beinvertible.

Name: solve at least a to d subparts.if you dnt solve skip for another True-
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Description: solve at least a to d subparts.if you dnt solve skip for another True-False ExercisesTF. In parts (a)-(k) determine whether the statement is true orfalse, and justify your answer.(a) Two n x n matrices, A and B, are inverses of one another ifand only