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Assume $X, Y, Z, W$ and $P$ are matrices of order $2\times n$, $3\times k$, $2\times p$, $n\times 3$ and $p\times k$, respectively. If $n = p$ then the order of the matrix $7X - 5Z$ is:
$$ (A) \quad p \times 2 \qquad \qquad (B) \quad 2 \times n \qquad \qquad (C) \quad n \times 3 \qquad \qquad (D) \quad p \times n $$
cbse
class12
bookproblem
ch3
sec2
q22
p83
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asked
Nov 25, 2012
by
pady_1
edited
Apr 1
by
pady_1
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Multiplication of two matrices is defined only if the number of columns of the left matrix is the same as the number of rows of the right matrix.
The order of matrix X is $2\times n.$
The order of matrix Z is $2\times p.$
$7X-5Z$ can be defined only $X$ and $Z$ are of the same order, i.e, $n$ must equal $p$.
Thus the order of 7X-5Z is $2\times n$ or $2\times p$
(B) is the correct answer.
answered
Feb 14, 2013
by
sreemathi.v
edited
Mar 1, 2013
by
balaji.thirumalai
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