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Title: matrices excercises
Description: This is the few questions for matrices topic . Starting with easier questions and then followed by a little bit hard . It is suitable to those who are just learning this topic and teachers who wants to give exercises to the students on this topic. Hope they can helps you to make you more understand on this topic :)

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FSC MATH 124
MATHEMATICS 2

[FOUNDATION IN SCIENCE MAHSA UNIVERSITY]

Name: ____________________________

Student ID: ___________________

TUTORIAL 3: MATRICES AND THEIR USE IN LINEAR EQUATION SYSTEMS
1
...
A+B

3
1 0 2
and 𝐵 = 3 −1 0
4
2
2 1 4

c
...


1  2
 2 1
 3 0
If A  
, B   4 3, C   1 2
3 0 




a
...
Show that AB≠BA

1

Prepared by Miss Aini Syahida|

b
...
B+5A

b
...
Find 2A-3B+C

FSC MATH 124
MATHEMATICS 2

3
...
Find
If, A  
,B



 1  2 0


 1 0 11 
 3  3




a
...
CA

c
...
C(AB)

4
...
BC

f
...

3 


FSC MATH 124
MATHEMATICS 2

5
...

6   3
3
 4  5 4

 

c
...


5 3 1   2
 4  2 0  3

 
0 2 1  5 

 

6
...


3
2
1 0 2  

 2 0 1    1  4

 3
0



 3 2 
2
Given that A  
 1  2  , find the values of m and n such that A +mA+nI=0 where I is



the identity 2 × 2 matrix
...


1 1  1
If A  0  2 3  , show that A2=-A+2I
...


 2 1
1 4 
If A  
 and B  3  2 find
  3 4


a
...
det B

4

Prepared by Miss Aini Syahida|

b
...
det AB

FSC MATH 124
MATHEMATICS 2

[FOUNDATION IN SCIENCE MAHSA UNIVERSITY]

9
...
Evaluate A2
b
...


Find the value of x in each of the following determinant matrix
a
...

1 2 3
1 1 2

2 x 3 0
2 4 3

11
...

b
...


A store sells large and small tins of both yellow and blue paints the selling price of a large
tin of either color is $h and of a small tin of either color is $m
Large
Small
Yellow
5
3
Blue
6
4
The total income from the sale of yellow paint was $84 and from the blue paint was $104
...
Write an equation to describe the problem in the matrix form
...
Find A-1
...
Find the value of h and m

13
...
Find A and use it to solve the linear system of equations
...


[FOUNDATION IN SCIENCE MAHSA UNIVERSITY]

Find inverse matrices for the following
3 5
a
...


  2  3

3 4
b
...


4  3

15
...


Find the inverse of the following matrices
  1 2 3
a
...
 1 2 0 


 1 0 3 



FSC MATH 124
MATHEMATICS 2

[FOUNDATION IN SCIENCE MAHSA UNIVERSITY]

 3  1 6 
1  4
c
...


2  3
1
 2  1  4
d
...

b
...


8

5 x  2 y  9
x  3 y  7

Prepared by Miss Aini Syahida|

d
...


2  1 3 
Find the inverse matrix of 5 4  3


3  2  1


Hence, solve the system of linear equations
2 x  y  3z  25
5 x  4 y  3z  1
3x  2 y  z  17

19
...
Hence, solve the equation B  y   4
If B  
   

 z  7 
4  1 1 
   



9

Prepared by Miss Aini Syahida|

FSC MATH 124
MATHEMATICS 2

[FOUNDATION IN SCIENCE MAHSA UNIVERSITY]

20
...
Find the matrices PQ, PQR and (PQ)-1
b
Title: matrices excercises
Description: This is the few questions for matrices topic . Starting with easier questions and then followed by a little bit hard . It is suitable to those who are just learning this topic and teachers who wants to give exercises to the students on this topic. Hope they can helps you to make you more understand on this topic :)