edurack

Matrices: JEE Mains 2022 June 29 Shift 2

Medium· Operations on matrices· +4 / −1

Let

A=\begin{pmatrix}2&-1\\0&2\end{pmatrix}

. If

B=I-{}^5C_1(\mathrm{adj}A)+{}^5C_2(\mathrm{adj}A)^2-\dots-{}^5C_5(\mathrm{adj}A)^5

, then the sum of all elements of the matrix

B

is :

Practise more Matrices PYQs

Let M=bmatrix0&-α\\ α&0bmatrix , where α is a non-zero real number and N=_k=1^49M^2k . If (I-M^2)N=-2I , then the positive integral value…
JEE Mains 2022 June 29 Shift 2 · Hard
Let A=[a_ij] be a square matrix of order 3 such that a_ij=2^\,j-i , for all i,j=1,2,3 . Then, the matrix A^2+A^3++A^10 is equal to :
JEE Mains 2022 June 29 Shift 1 · Medium