Matrix Equation Worksheet

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Algebra 2 Worksheet Solving Matrix Equations
Name________________________
Date______________
You may use your calculator for the final answers but you must SHOW the initial work
including naming each matrix and showing what you are entering in the calculator. (For
#1 you should write AX+B=C-1 then show the steps to solve the equation with the
matrix names listed but use your calculator to do the matrix arithmetic. Be careful
as to whether you are going to PRE or POST multiply when you use the inverse to
solve. When I solve B+AX =C, I use AX=C-B then X=A-1(C-B) but I enter each
matrix A,B,C in my calculator and let it produce the answer.)
1.
5 3O L
1 1OL
2 3O
L
X M P
M P
M
P
2 0Q N
1 1QN
4 1Q
N
2.
1 0O L2 1OL
0 1O
L
 XM
M P
M
P
P
0 1Q N
2 10 QN
1 1Q
N
3.
2 1
L
M
4 1
M
M
0 2
N
1
O
P
P
P
Q
L
M
M
M
N
O
P
P
P
Q
0
1 1 1
1  X 2 1 3
2
0 1 3
Algebra 2 Worksheet Solving Matrix Equations
Name________________________
Date______________
4.
FL2 0O
2 4O
L1 1OI L3 4O
L
2G
 M PJ X  M P
M
P
M
4 5QN
4 4QK
6 0Q
5 1P
N
N
Q
HN
5.
L2 3O
L1 1O
IM P
X M P
1 4Q N
2 1Q
N
1
1
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