UNIVERSITY OF SOUTH AFRICA (UNISA)
College of Science, Engineering and Technology
⋄
MATHEMATICS II (ENGINEERING)
Assignment 03 — Year Module
⋄
Module Code: MAT2691
Module Name: Mathematics II (Engineering)
Assignment No.: Assignment 03
Due Date: Wednesday, 9 September 2026
Semester: Year Module – 2026
Submitted in partial fulfilment of the requirements for Mathematics II (Engineering)
at the University of South Africa.
, UNISA | MAT2691 Assignment 03
Question 1.1
If
6 1 3
A = −1 1 2
4 1 3
and
1 5 2
B = −1 0 1 ,
3 2 4
then solve for
X = (2AT − 3B T )T .
Transposing a matrix changes its rows into columns.
6 −1 4
T
A = 1 1 1
3 2 3
1 −1 3
T
B = 5 0 2
2 1 4
Multiply every entry of AT by 2:
12 −2 8
2AT = 2
2 2
6 4 6
Multiply every entry of B T by 3:
Page 1 of 8
College of Science, Engineering and Technology
⋄
MATHEMATICS II (ENGINEERING)
Assignment 03 — Year Module
⋄
Module Code: MAT2691
Module Name: Mathematics II (Engineering)
Assignment No.: Assignment 03
Due Date: Wednesday, 9 September 2026
Semester: Year Module – 2026
Submitted in partial fulfilment of the requirements for Mathematics II (Engineering)
at the University of South Africa.
, UNISA | MAT2691 Assignment 03
Question 1.1
If
6 1 3
A = −1 1 2
4 1 3
and
1 5 2
B = −1 0 1 ,
3 2 4
then solve for
X = (2AT − 3B T )T .
Transposing a matrix changes its rows into columns.
6 −1 4
T
A = 1 1 1
3 2 3
1 −1 3
T
B = 5 0 2
2 1 4
Multiply every entry of AT by 2:
12 −2 8
2AT = 2
2 2
6 4 6
Multiply every entry of B T by 3:
Page 1 of 8
