Find the values of the variables. [Start 2 By 3 Matrix 1st Row 1st Column a plus 7 2nd Column 2 z plus 1 3rd Column 3 m 2nd Row 1st Column 6 k 2nd Column 5 3rd Column 1 EndMatrix ]plus[Start 2 By 3 Matrix 1st Row 1st Column 12 a 2nd Column 6 z 3rd Column 5 m 2nd Row 1st Column 7 k 2nd Column 4 3rd Column 2 EndMatrix ]equals[Start 2 By 3 Matrix 1st Row 1st Column 33 2nd Column negative 39 3rd Column 32 2nd Row 1st Column 39 2nd Column 9 3rd Column 3 EndMatrix ]
1 answer:
Answer:
a=2, z= 4.75, m=4, k=3
Step-by-step explanation:
In Matrix Addition, each element in corresponding position is added.
In Matrix Equality, elements in the same position are equal.
Applying these two principles
a+7+12a=33
13a=33-7
13a=26
a=2
2z+1+6z=39
8z=39-1
8z=38
z= 4.75
3m+5m=32
8m=32
m=4
6k+7k=39
13k=39
k=3
Therefore:
a=2, z= 4.75, m=4, k=3
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