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Find the adjoint of matrix A = [6534] - Mathematics and Statistics

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प्रश्न

Find the adjoint of matrix A = `[(6, 5),(3, 4)]`

योग

उत्तर

A = `[(6, 5),(3, 4)]`

A11 = (–1)1+1 M11 = M11 = 4

A12 = (–1)1+2 M12 = – M12 = – 3

A21 = (–1)2+1 M21 = – M21 = – 5

A22 = (–1)2+2 M22 = M22 = 6

adj A = `[("A"_11, "A"_12),("A"_21, "A"_22)]^"T"`

= `[(4, -3),(-5, 6)]^"T"`

= `[(4, -5),(-3, 6)]`

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