matrix operations and equations
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WorksheetTRANSCRIPT
Albert Town High School
Mathematics worksheet
Matrix 1
Answer all questions
1. If 2 0
5 1X
− =
and 4 1
3 7Y
− =
determine
a. 2X Y−
b. 2X
c. XY
2. 3 5
1 0A
=
and 6 4
1 2B
=
− −
a. Calculate the matrix product AB
b. If 8
4
xC
y
− =
, and 2A C AB+ = , calculate the values of x and
3. If 2 3
1 2T
− =
and 2
3G
− =
, calculate the matrix product TG
4. Given that 2 3 3
1 2 1
a
b
− =
− determine the value of a and b
5. If2 1
3 4A
=
− ,
4
xB
=
and12
Cx
=
. Given that AB C= calculate the value of x
6. A, B and C are (2x2) matrices such that a b
Ac d
=
, 5 3
3 2B
=
and 14 0
9 5C
=
− ,
determine
a. 3A
b. 1B−
c. 13A B
−
+
d. The value of a, b and c if 1
3A B C−
+ =
7. Given that 2 3
1M
x
=
−
a. Write down the determinant of M
b. Given that M is a singular matrix calculate the value of x
8. For the matrix 4 2
5 3N
=
a. Determine N
b. Calculate 1
N−
c. Show by calculation that 1
NN I−
=