SOLUTION: 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

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
-----
Let X be (a b c d)
-----
2+a = 1
-3+b = 0
0+c = 0
4+d = 1
---------
So, X = (-1 3 0 -3)
-----------------------
Cheers,
Stan H.
==============

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

RELATED QUESTIONS
Hi,my name is Natalia. I solved two problems, but I'm not sure that I did it right. I... (answered by venugopalramana)
find all real numbers x such that f(x)=x-1/x^2-x+6>0. Factor x^2-x+6 to find LCD... (answered by BigToosie)
Please help me find 2A*B and 2B*A from the following: p.s. A and B are matrices A: 2 3 (answered by alicealc)
Let P and R be the following matrices: P projects vectors onto (2; 3). R reflects... (answered by kately)
Ok, so I am given 4 matrices and 2 operations to perform (if possible). I don't think... (answered by Edwin McCravy)
okay, i'm not very good at matrices... [4 2]____[-6 0] [5 1]*A= [-15 3] (find... (answered by stanbon)
Prove that a matrix A, 2x2 conmutes with any matrix 2x2 if and only if A conmutes with... (answered by ikleyn)
Hi! if a= 1 5 and b= 3 -2 find a x b -3 0 -4 6 Note that (answered by KMST)
y= (x+4)-(x+1) the (brackets) are supposed to be the absolute value bar lines i... (answered by stanbon)