If A = (-121-4) then A(adj A) is - Business Mathematics and Statistics

If A = `((-1,2),(1,-4))` then A(adj A) is

MCQ

`((2,0),(0,2))`

shaalaa.com

Is there an error in this question or solution?

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

Chapter 1 Matrices and Determinants
Exercise 1.5 | Q 14 | Page 21

Find the inverse of the following matrices by transformation method:

`[(2, 0, −1),(5, 1, 0),(0, 1, 3)]`

Fill in the blank :

(A^T)^T = _______

The solution (x, y, z) of the equation `[(1, 0, 1),(-1, 1, 0),(0, -1, 1)] [(x),(y),(z)] = [(1),(1),(2)]` is (x, y, z) =

`cos theta [(cos theta, sin theta),(-sin theta, cos theta)] + sin theta [(sin theta, - cos theta),(cos theta, sin theta)]` = ______

A + I = `[(3, -2),(4, 1)]` then find the value of (A + I)(A − I)

The value of Cofactor of element a₂₁ in matrix A = `[(1, 2),(5, -8)]` is ______

The value of Minor of element b₂₂ in matrix B = `[(2, -2),(4, 5)]` is ______

If A = `[(2,-2,2),(2,3,0),(9,1,5)]` then, show that (adj A) A = O.

If A = `[(p/4, 0, 0), (0, q/5, 0), (0, 0, r/6)]` and `"A"^-1 = [(1/4, 0, 0), (0, 1/5, 0), (0, 0, 1/6)]`, then p + q + r = ______

If A = `[(1 + 2"i", "i"),(- "i", 1 - 2"i")]`, where i = `sqrt-1`, then A(adj A) = ______.