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Compute the Products Ab And Ba Whichever Exists in Each of the Following Cases: A = [1 −1 2 3] And B=`[[0],[1],[2],[3]]` - Mathematics

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प्रश्न

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

A = [1 −1 2 3] and B=`[[0],[1],[3],[2]]`

 

योग

उत्तर

AB=[1     −1   2      3]  `[[0],[1],[3],[2]]`

⇒AB=[0+(−1)+6+6]

⇒AB=[11]

Also,

`BA = [[0],[1],[3],[2]]`[1       −1     2        3]

`⇒BA=[[0       0          0        0],[1     -1       2       3],[3       -3         6      9],[2      -2        4         6]]`

 

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

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 5 Algebra of Matrices
Exercise 5.3 | Q 3.3 | पृष्ठ ४१

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