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If A = a[1a01], then compute A4 - Mathematics

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प्रश्न

If A = `[(1, "a"),(0, 1)]`, then compute A4 

बेरीज
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उत्तर

A = `[(1, "a"),(0, 1)]`

A2 = A . A

= `[(1, "a"),(0, 1)] [(1, "a"),(0, 1)]`

= `[(1 + 0, "a" + "a"),(0 + 0, 0 + 1)]`

A2 = `[(1, 2"a"),(0, 1)]`

A4 = A2 × A

= `[(1, "a"),(0, 1)] [(1, 2"a"),(0, 1)]`

A4 = `[(1 + 0, 2"a" + 2"a"),(0 + 0, 0 +  1)]`

A4 = `[(1, 4"a"),(0, 1)]` 

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पाठ 7: Matrices and Determinants - Exercise 7.1 [पृष्ठ १८]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 7 Matrices and Determinants
Exercise 7.1 | Q 5 | पृष्ठ १८
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