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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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प्रश्न

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]]`

योग

उत्तर

`AB=[[1      -2],[2            3]][[1        2           3],[2        3          1]]`

`⇒AB=[[1-4         2-6        3-2 ],[2+6        4+9        6+3]]`

`⇒AB = [[-3        -4           1],[8                     13             9]]`

Since the number of columns in is greater then the number of rows in ABA does not exists.

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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 3.1 | पृष्ठ ४१

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