Matrix solving

A

AlexAmos

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Joined
Apr 9, 2019
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3
Hello,

I am studying matrix equations and am struggling with a few homework questions.

The questions are as follows as any help or feedback is greatly appreciated.


1568553071870.png


2. Three sisters Xena, Yoshi and Zelda come into an inheritance of 100a + 20d + 4c thousand dollars. Due to favoritism by their parents, the will specifies that Xena and Yoshi between them should inherit three times as much as Zelda, and that Yoshi should inherit 5g + 8h thousand dollars more than Zelda. How much do they each inherit?


3.
A =9,3,0 B = 2,0 C = 1,2
3,6,7 0,1 3,0
0,-1
1568552999203.png


Thanks,
Alex.
 
Hi, Alex. Please show us what you have tried, so we can see what help you need. The first problem requires only basic knowledge of how matrix multiplication and transpose work. The second requires writing a system of three equations, which can be solved by matrices, or not. The third requires knowing how to carry out matrix operations; I presume the matrices are
Code: 
A = 9,3,0   B = 2,0   C = 1,2
    3,6,7       0,1       3,0
                          0,-1

We need to see how much of that you can do, in order to know where to start with help.
 
Use the fact that BT*AT= (A*B)T which is a 3x7 matrix. So what is the dimension of A*B?? If A is 7x5 then B is ??
 
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