The inverse matrix of (45-512-2512) is - Business Mathematics and Statistics

The inverse matrix of `((4/5,(-5)/12),((-2)/5,1/2))` is

MCQ

`30/7 ((1/2,5/12),(2/5,4/5))`

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Chapter 1: Matrices and Determinants - Exercise 1.5 [Page 21]

Chapter 1 Matrices and Determinants
Exercise 1.5 | Q 8 | Page 21

Find the inverse of the following matrix (if they exist):

`[(2,-3,3),(2,2,3),(3,-2,2)]`

If A is a no singular matrix, then det (A^–1) = _______

Find inverse of the following matrices (if they exist) by elementary transformations :

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

If A = `[(4, -1),(-1, "k")]` such that A² − 6A + 7I = 0, then K = ______

If A = `[(4, 5),(2, 5)]`, then |(2A)⁻¹| = ______

If A = `[(3, 1),(5, 2)]`, and AB = BA = I, then find the matrix B

If A = `[(1,2),(3,-5)]`, then A^-1 = ?

If A = `[(2, 0, -1), (5, 1, 0), (0, 1, 3)]` and A⁻¹ = `[(3, -1, 1), (α, 6, -5), (β, -2, 2)]`, then the values of α and β are, respectively.

The number of solutions of equation x₂ – x₃ = 1, – x₁ + 2x₃ = 2, x₁ – 2x₂ = 3 is ______.

If matrix A = `[(1, -1),(2, 3)]`, then A² – 4A + 5I is where I is a unit matix.