MATRICES
If A and B are matrices of order 3 × and × 5 respectively, then find the
order of matrix 5A – 3B, given that it is defined.
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Answer:
the order of matrix is 3×5
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Answer: A and B are matrices of order 3 × and × 5 respectively
To Find : the order of matrix 5A – 3B, given that it is defined.
Solution:
Let say order of Matrix A = 3 x m
order of Matrix B = n x 5
5A Matrix order = 3 x m
3B Matrix order = n x 5
5A – 3B is Defined
Hence order of matrix of 5A & 3B would be same
Hence 3 x m = n x 5
3 = n
m = 5
5A Matrix order = 3 x 5
3B Matrix order = 3 x 5
Hence order of matrix 5A – 3B = 3 x 5
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