ENGR 1320 Homework Assignment #1
HA1-1. For each matrix, identify the order and the value of the elements indicated.
Order_____________
2 3 4 
A   0 2 7 


 1 2 2 
a32  ____
a13  ____
 1 6 0 

 2 4 6
Order_____________
B  
 7
2
C  
0
5

b21  ____
5 3 0 3 


8 3 6 7 

2 1 0 8 
3 5 7 0
Order_____________
c44  ____
c23  ____
HA1-2. For A=B, determine the value of x and y.
 1 6 0 

 2 4 6
A  
x y 6 0
2 
 2 y 6
B  
HA1-3. Given A and B, find:
AB
BA
 2 1 3 2 
A   3 6 0 4 


 1 7 2 1 
A  3B
2A  B
 3 1 0 4 
B   3 0 2 7 


 1 4 6 1 
HA1-4. Given A, B and C, show that:
A( B  C)  AB  AC
 1
3
A  
0
4


1 2 
2 1 

1 3 
2 1
 3 1 0 4 
B   3 0 2 7 


 1 4 6 1 
 0 2 3 4
C   4 1 3 5 


 1 3 5 7
HA1-5. Given A, B and C, show that:
( BA)C  B( AC)
 1
3
A  
0
4

2 1



1 3 
2 1
HA1-6. Given A, find:
1

0

A   2
 1

 2
 3 1 0 4 
B   3 0 2 7 


 1 4 6 1 
1 2 
AA
T
1 0 2 
C   2 4 5 


 5 1 3 
T
A A



1 0 1 2 
0 1 2 3 

3 2 1 2 
1 0
1
1
2 1 1 0
HA1-7. Given the set of equations, express the set as a matrix equation Ax=d:
x  2y  3z  3
2x  y  2z  4
3x  3y  4z  2
HA1-8. Given the matrix A, find a matrix B, such that:
A  B  I5
1

0

A   2
 1

 2
1 0
1
2 1 1
1
0 1
0
1
2
3 2 1


0

2 
3 

2 
1