Question 943737: If (2 -3 0 4)+X= (1 0 0 1), find X
The numbers in brackets are 2x2 matrices and are read from left to right
Found 2 solutions by stanbon, rothauserc:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! If (2 -3 0 4)+X= (1 0 0 1), find X
The numbers in brackets are 2x2 matrices and are read from left to right
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Let X be (a b c d)
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2+a = 1
-3+b = 0
0+c = 0
4+d = 1
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So, X = (-1 3 0 -3)
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Cheers,
Stan H.
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Answer by rothauserc(4718)  (Show Source):
You can put this solution on YOUR website! when you add matrices, you add their corresponding elements,
|a11+x11 a12+x12| = |1 0|
|a21+x21 a22+x22| |0 1|
we are given that a11=2, a12=-3, a21=0, a22=4, therefore
2+x11 = 1, x11=-1
-3+x12 = 0, x12=3
0+x21 = 0, x21=0
4+x22 = 1, x22=-3
and
X = (-1, 3, 0, -3)
X is 2x2 matrix, read left to right
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