मराठी

Compute the Products Ab And Ba Whichever Exists in Each of the Following Cases: `A=[[3 2],[-1 0],[-1 0]]` and `B= [[4 5 6],[0 1 2]]` - Mathematics

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प्रश्न

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

`A=[[3     2],[-1     0],[-1      1]]` and `B= [[4         5        6],[0           1             2]]`

बेरीज

उत्तर

`AB=[[3        2],[-1       0],[-1     1]]``[[4         5         6],[0       1          2]]`

`⇒AB = [[    12+0                         15+2                      18+4],[-4+0        -5+0       -6+0],[-4+0       -5+1       -6+2]]`

`⇒AB=[[12         17               22],[-4           -5         -6],[-4        -4         -4]]`

Also

`BA=[[4        5       6],[0       1        2]]` `[[3     2],[-1       0],[-1        1]]`

 `⇒BA=[[12-5-6         8+0+6],[0-1-2         0+0+2]]`

`⇒BA=[[1       14],[-3        2]]`

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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 3.2 | पृष्ठ ४१

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