हिंदी

If A = andB[2x01]andB=[43601],find the value of x, given that A2 – B - Mathematics

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प्रश्न

If A = `[(2, x),(0, 1)] and "B" = [(4, 36),(0, 1)]`,find the value of x, given that A2 – B

योग

उत्तर

Given
A2 = `[(2, x),(0, 1)][(2, x),(0, 1)]`

A2 = `[(2, x),(0, 1)][(2, x),(0, 1)]`

= `[(4 + 0, 2x + x),(0 + 0, 0 + 1)]`

= `[(4, 3x),(0, 1)]`
∵ A2 = B
∴ `[(4, 3x),(0, 1)] = [(4, 36),(0, 1)]`
Corresponding the corresponding elements
3x = 36
⇒ x = 12
Hence x = 12.

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अध्याय 8: Matrices - Exercise 8.3

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