If `A=[[a, b],[ c, d]]`
, `B=[[1, 0],[ 0, 1]]`
, find `a d j\ (A B)`
.
Text Solution
Verified by Experts
`A xx B=[[a,b],[c,d]]`
`A xx B` is an invertible matrix
let `C _(ij)` be the cofactor of A
so,`C=[[d,-c],[-b,a]]`
`adj(A)=[[d,-c],[-b,a]]^T`
=`[[d,-b],[-c,a]]`
Topper's Solved these Questions
ADJOINTS AND INVERSE OF MATRIX
RD SHARMA|Exercise QUESTION|1 Videos
ALGEBRA OF MATRICES
RD SHARMA|Exercise Solved Examples And Exercises|410 Videos
Similar Questions
Explore conceptually related problems
If A= [[a,b],[c,d]] and I= [[1,0],[0,1]] then A^(2)-(a+d)A=
If a d j\ A=[(2, 3),(4,-1)] and a d j\ B=[(1,-2),(-3, 1)] , find a d j\ A Bdot
If A=[[a, b],[ c ,d]] , then a d j\ A is [[-d,-b],[-c, a]] (b) [[d,-b],[-c ,a]] (c) [[d, b],[ c, a]] (d) [[d, c],[ b ,a]]
If A=[[1,0],[2,1]] and A^(2012)=[[a,b],[c,d]] then find the values of a,b,c and d.
If ({:((1)/(2), -(3)/(5)),((4)/(6), -(1)/(7)):}) = ({:(-a, b), (c, -d):})({:(1, 0), (0, 1):}) then find a, b,c and d.
If [(a-b,2a+c),(2a-b,3c+d)]=[(-1, 5),( 0, 13)] , find the value of bdot
If I= [[1,0],[0,1]] , J = [[0,1],[-1,0]] and B = [[costheta, sintheta],[-sintheta, costheta]] , then B= (A) Icostheta+Jsintheta (B) Icostheta-Jsintheta (C) Isintheta+Jcostheta (D) -Icostheta+Jsintheta
If A=([1,0],[2,1]) and A^(10)=([a,b],[c,d]) then a+b+c+d
If A=[(1,4),(3,2),(2,5)], B=[(-1,-2),(0,5),(3,1)] , find the matrix D such that A+B-D=0 .
If A^(20) = [(a,b),(c,d)] where A =[(1,1),(0,2)] then a+b+c+d is equal to
