Let the expression which is not defined is

Engineering

Mathematics

Multiplication of Matrices

Symmetric and Skew Symmetric Matrices

Question

Let $A = [\begin{array}{ccc} 4 & 6 & - 1 \\ 3 & 0 & 2 \\ 1 & - 2 & 5 \end{array}], B = [\begin{matrix} 2 & 4 \\ 0 & 1 \\ - 1 & 2 \end{matrix}] and C = [\begin{array}{lll} 3 1 2 \end{array}]$ the expression which is not defined is

A² + A

A + B^T

CAB

B^TB

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$A = [\begin{array}{ccc} 4 & 6 & - 1 \\ 3 & 0 & 2 \\ 1 & - 2 & 5 \end{array}], B = [\begin{matrix} 2 & 4 \\ 0 & 1 \\ 1 & 2 \end{matrix}] and C = [\begin{array}{lll} 3 1 2 \end{array}]$

ie. matrix A is of order 3 × 3
matrix B is 3 × 2
and matrix C is 1 × 3

Multiplication of matrix is possible if and only if the number of column of first matrix is equal to number of rows of second matrix.
Addition of matrix is possible for same matrix
∴ A + B is not possible as it not same order.

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