Let `A=[(1, 2),( 3,-5)]`
and `B=[(1, 0), (0, 2)]`
and `X`
be a matrix such that `A=B X`
, then `X`
is equal to
`1/2[(2, 4),( 3,-5)]`
(b) `1/2[(-2, 4),( 3, 5)]`
(c) `[(2, 4),( 3,-5)]`
(d) none of these
Text Solution
AI Generated Solution
To solve the problem where \( A = B \cdot X \), we need to find the matrix \( X \).
Given:
\[
A = \begin{pmatrix} 1 & 2 \\ 3 & -5 \end{pmatrix}, \quad B = \begin{pmatrix} 1 & 0 \\ 0 & 2 \end{pmatrix}
\]
### Step 1: Find the Inverse of Matrix \( B \)
...
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=[(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=[{:(2,-3),(4," "5):}]" and "B=[{:(-1,2),(0,3):}] , find a matrix X such that A+2B+X=O.
If A=[(1,0),(3,-1),(-5,2)] and B=[(1,-2),(-2,2),(1,1)] , then find the matrix 'X' such that 3A + X = 5B.
If A=[(2,0),(-3,1)] and B=[(4,-3),(-6,2)] are such that 4A+3X=5B then x=?
Given A=[(1,2,-3),(5,0,2),(1,-1,1)] and b=[(3,-1,2),(4,2,5),(2,0,3)] , find the matrix C such that A+C=B .
if A=[{:(1,6),(2,4),(-3,5):}]B=[{:(3,4),(1,-2),(2,-1):}], then find a matrix C such that 2A-B+c=0
A={:[(1,2),(3,4),(5,6)]:},B={:[(0,1),(-1,2),(-2,1)]:} , then find matrix X such that 2A +3X=5B.
If A = [(1,0,1),(0,2,3),(1,2,1)]and B = [(1,2,3),(1,1,5),(2,4,7)] , then find the matrix X such that XA = B
