Math  /  Algebra

QuestionIf possible, find AB,BAA B, B A, and A2A^{2}. (If not possible, enter IMPOSSIBLE in any cell of the matrix.) A=[1245],B=[3401]A=\left[\begin{array}{llll} 1 & 2 & 4 & 5 \end{array}\right], \quad B=\left[\begin{array}{l} 3 \\ 4 \\ 0 \\ 1 \end{array}\right] (a) ABA B (b) BAB A

Studdy Solution
To determine if A2 A^2 is possible, A A must be a square matrix. Since A A is 1x4, it is not a square matrix.
A2=IMPOSSIBLE A^2 = \text{IMPOSSIBLE}
The solutions are: (a) AB=16 A B = 16 (b) BA=IMPOSSIBLE B A = \text{IMPOSSIBLE} (c) A2=IMPOSSIBLE A^2 = \text{IMPOSSIBLE}

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