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Solve the following : If A = [2537],B=4[17-30], find matrix A – 4B + 7I, where I is the unit matrix of order 2. - Mathematics and Statistics

Sum

Solve the following :

If A = `[(2, 5),(3, 7)], "B" = 4[(1, 7),(-3, 0)]`, find matrix A – 4B + 7I, where I is the unit matrix of order 2.

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Solution

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

= `[(2, 5),(3, 7)] - [(4, 28),(-12, 0)] + [(7, 0),(0, 7)]`

= `[(2 - 4 + 7, 5 - 28 + 0),(3 + 12 + 0, 7 - 0 + 7)]`

= `[(5, -23),(15, 14)]`.

Concept: Properties of Matrices
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 2 Matrices
Miscellaneous Exercise 2 | Q 4.04 | Page 84
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