UNIVERSITY OF SOUTH AFRICA
College of Science, Engineering and Technology
⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄⋄
MAT2691: MATHEMATICS II (ENGINEERING)
Assignment 03 | Year Module
⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄⋄
MAT2691
Module Code:
Mathematics II (Engineering)
Module Name:
Matrix Algebra: Transpose, Multiplication
Essay Topic:
and Inverse
Assignment 03
Assignment Number:
Wednesday, 9 September 2026
Due Date:
Submitted in partial fulfilment of the requirements
for Mathematics II (Engineering), UNISA 2026
, 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. For A,
6 −1 4
T
A = 1 1 1
3 2 3
and for B,
1 −1 3
B T = 5 0 2 .
2 1 4
Multiplying every entry of AT by 2 gives
12 −2 8
T
2A = 2 2 2 ,
6 4 6
Page 2 of 9
College of Science, Engineering and Technology
⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄⋄
MAT2691: MATHEMATICS II (ENGINEERING)
Assignment 03 | Year Module
⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄ ⋄⋄
MAT2691
Module Code:
Mathematics II (Engineering)
Module Name:
Matrix Algebra: Transpose, Multiplication
Essay Topic:
and Inverse
Assignment 03
Assignment Number:
Wednesday, 9 September 2026
Due Date:
Submitted in partial fulfilment of the requirements
for Mathematics II (Engineering), UNISA 2026
, 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. For A,
6 −1 4
T
A = 1 1 1
3 2 3
and for B,
1 −1 3
B T = 5 0 2 .
2 1 4
Multiplying every entry of AT by 2 gives
12 −2 8
T
2A = 2 2 2 ,
6 4 6
Page 2 of 9
