Matrix is of order and matrix is of order

MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices

Problem

Matrix MM is of order 4×54 \times 5 and matrix NN is of order 4×34 \times 3. Which statement correctly explains why M−NM - N cannot be performed? (a) Matrix subtraction is allowed only when both matrices are square, which these are not. (b) Their inner dimensions 55 and 44 do not match, so subtraction is impossible. (c) They have the same number of rows but different numbers of columns; thus, their orders differ. (d) Subtraction is invalid because the total numbers of elements 2020 and 1212 are unequal.

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