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If A = [1-253],B=[1-34-7], then find the matrix A – 2B + 6I, where I is the unit matrix of order 2. - Mathematics and Statistics

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प्रश्न

If A = `[(1, -2),(5, 3)], "B" = [(1, -3),(4, -7)]`, then find the matrix A – 2B + 6I, where I is the unit matrix of order 2.

योग

उत्तर

A – 2B + 6I = `[(1, -2),(5, 3)] - 2[(1, -3),(4, -7)] + 6[(1, 0),(0, 1)]`

= `[(1, -2),(5, 3)] - [(2, -6),(8, -14)] + [(6, 0),(0, 6)]`

= `[(1 - 2 + 6, -2 + 6 + 0),(5 - 8 + 0, 3 + 14 + 6)]`

= `[(5, 4),(-3, 23)]`

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अध्याय 4: Determinants and Matrices - Exercise 4.5 [पृष्ठ ८७]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 4 Determinants and Matrices
Exercise 4.5 | Q 2 | पृष्ठ ८७

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