If A = [049837], B = [738149] find the value of 3A – 9B - Mathematics

If A = `[(0, 4, 9),(8, 3, 7)]`, B = `[(7, 3, 8),(1, 4, 9)]` find the value of 3A – 9B

योग

3A – 9B = `3[(0, 4, 9),(8, 3, 7)] - 9[(7, 3, 8),(1, 4, 9)]`

= `[(0, 12, 27),(24, 9, 21)] - [(63, 27, 72),(9, 36, 81)]`

= `[(-63, -5, -45),(15, -27, -60)]`

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अध्याय 3: Algebra - Exercise 3.17 [पृष्ठ १४९]

अध्याय 3 Algebra
Exercise 3.17 | Q 4. (ii) | पृष्ठ १४९

If A = `[(5, 2, 2),(-sqrt(17), 0.7, 5/2),(8, 3, 1)]` then verify (A^T)^T = A

Find the values of x, y and z from the following equation

`[(12, 3),(x, 3/2)] = [(y, z),(3, 5)]`

Given that A = `[(1, 3),(5, -1)]`, B = `[(1, -1, 2),(3, 5, 2)]`, C = `[(1, 3, 2),(-4, 1, 3)]` verify that A(B + C) = AB + AC

If A = `[(5, 2, 9),(1, 2, 8)]`, B = `[(1, 7),(1, 2),(5, -1)]` verify that (AB)^T = B^T A^T

If A is a 2 × 3 matrix and B is a 3 × 4 matrix, how many columns does AB have

Determine the matrices A and B if they satisfy 2A – B + `[(6, - 6, 0),(- 4, 2, 1)]` = 0 and A – 2B = `[(3, 2, 8),(-2, 1, -7)]`

If A = `[(1, 0, 2), (0, 2, 1), (2, 0, 3)]` and A³ – 6A² + 7A + kI = 0, find the value of k

Give your own examples of matrices satisfying the following conditions:
A and B such that AB = 0 and BA ≠ 0

If A^T = `[(4, 5),(-1, 0),(2, 3)]` and B = `[(2, -1, 1),(7, 5, -2)]`, veriy the following

(A – B)^T = A^T – B^T

Choose the correct alternative:
If a ≠ b, b, c satisfy `|("a", 2"b", 2"c"),(3, "b", "c"),(4, "a", "b")|` = 0, then abc =