Compute the Products Ab And Ba Whichever Exists in Each of the Following Cases: `A= [[1 -2],[2 3]]` And B=`[[1 2 3],[2 3 1]]` - Mathematics

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Compute the products AB and BA whichever exists in each of the following cases:

$A = [\begin{matrix} 1 - 2 \\ 2 3 \end{matrix}]$ and B= $[\begin{matrix} 1 2 3 \\ 2 3 1 \end{matrix}]$

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उत्तर

$A B = [\begin{matrix} 1 - 2 \\ 2 3 \end{matrix}] [\begin{matrix} 1 2 3 \\ 2 3 1 \end{matrix}]$

$\Rightarrow A B = [\begin{matrix} 1 - 4 2 - 6 3 - 2 \\ 2 + 6 4 + 9 6 + 3 \end{matrix}]$

$\Rightarrow A B = [\begin{matrix} - 3 - 4 1 \\ 8 13 9 \end{matrix}]$

Since the number of columns in B is greater then the number of rows in A, BA does not exists.

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Algebraic Operations on Matrices - Multiplication of Matrices

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Q 3.1 Q 2.3 Q 3.2

पाठ 5: Algebra of Matrices - Exercise 5.3 [पृष्ठ ४१]

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आरडी शर्मा Mathematics [English] Class 12

पाठ 5 Algebra of Matrices
Exercise 5.3 | Q 3.1 | पृष्ठ ४१

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Algebraic Operations on Matrices - Multiplication of Matrices

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Compute the Products Ab And Ba Whichever Exists in Each of the Following Cases: $A = [\begin{matrix} 1 - 2 \\ 23 \end{matrix}]$ And B= $[\begin{matrix} 123 \\ 231 \end{matrix}]$ - Mathematics

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Compute the Products Ab And Ba Whichever Exists in Each of the Following Cases: A=[1-223] And B=[123231] - Mathematics

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Compute the Products Ab And Ba Whichever Exists in Each of the Following Cases: $A = [\begin{matrix} 1 - 2 \\ 23 \end{matrix}]$ And B= $[\begin{matrix} 123 \\ 231 \end{matrix}]$ - Mathematics

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