हिंदी

If A = [025-2], B = [1-132] and I is a unit matrix of order 2 × 2, find IB - Mathematics

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प्रश्न

If A = `[(0, 2),(5, -2)]`, B = `[(1, -1),(3, 2)]` and I is a unit matrix of order 2 × 2, find IB

योग
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उत्तर

IB = `[(1, 0),(0, 1)] [(1, -1),(3, 2)]`

= `[(1 xx 1 + 0 xx 3, 1 xx (-1) + 0 xx 2),(0 xx 1 + 1 xx 3, 0 xx (-1) + 1 xx 2)]`

= `[(1 + 0, -1 + 0),(0 + 3, 0 + 2)]`

= `[(1, -1),(3, 2)] = B`

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