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In the Given Case Below Find A) the Order of Matrix M. B) the Matrix M M Xx (1,1),(0, 2) = 1, 2 - Mathematics

Sum

In the given case below find

a) The order of matrix M.

b) The matrix M

`M xx [(1,1),(0, 2)] = [1, 2]`

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Solution

We know, the product of two matrices is defined only when the number of columns of the first matrix is equal to the number of rows of the second matrix

Let the order of matrix M be a x b.

`M_(a xx b) xx [(1,1),(0, 2)]_(2 xx 2) = [(1, 2)]_(1 xx 2)`

Clearly, the order of matrix M is `1 xx 2`

Let M = [a, b]

`M xx [(1, 1),(0, 2)] = [(1, 2)]`

`[a, b] xx [(1, 1),(0, 2)] = [(1, 2)]`

`[(a + 0, a + 2b )] = [1, 2]`

Comparing the corresponding elements we get

`a = 1 and a + 2b = 2 => 2b = 2 - 1 = 1 => b = 1/2`

`∴ M = [(a, b)] = [(1, 1/2)]`

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APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 9 Matrices
Exercise 9 (C) | Q 17.1 | Page 130
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