Find a `2 times 2`
matrix `B` such that `B[[1,-2],[ 1, 4]]=[[6, 0],[ 0, 6]]`
Text Solution
AI Generated Solution
To find a \( 2 \times 2 \) matrix \( B \) such that
\[
B \begin{bmatrix} 1 & -2 \\ 1 & 4 \end{bmatrix} = \begin{bmatrix} 6 & 0 \\ 0 & 6 \end{bmatrix},
\]
we can denote the matrix \( B \) as
...
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
Find a 2xx2 matrix B such that B[[1,-21,4]]=[[6,00,6]]
Find a 2xx2 matrix B such that [[5,4],[1,1]] B=[[1,-2],[1,3]]
Find a 2xx2 matrix B such that [[6,5],[5,6]] B=[[11,0],[0,11]]
" ).Find the Matrix A such that "A|[1,2],[-1,0]|=|[3,4],[-1,6]|
Find a matrix X such that A+2B+X=0 where A= [[2,-1],[3,5]], B[[-1,1],[0,2]]
find the matrix X such that AX=B where A=det[[1,2-1,3]],B=det[[0,12,4]]
Find a matrix X such tht 3A-2B+X=0, where A=[[4,2],[1,3]] , B= [[-2,1], [3,2]]
Find the matrix A such that : [(1 ,0 ),(0 ,1)]A=[(3 ,3 ,5 ),(1, 0 ,1)] (ii) A[(1, 2, 3 ),(4, 5 ,6)]=[(-7,-8,-9 ),(2, 4 ,6)]
(b) Find the rank of the matrix [[1,2,3],[1,2,4],[0,0,0]]
(b) Find the rank of the matrix A= [[1,2,1,2],[1,3,2,2],[2,4,3,4],[3,7,4,6]]