EGN3420 Singed College of Engineering Matrix and Vector Operations

This HW all about Matrix and Vector Operations (show all your work please)

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Numerical and Computer Tools 1 – Homework 1
Matrix and Vector Operations (show all your work)
3
1) ( 5
−2
6
3
1
−3) − (−2 −3) =
7
9
5
2)
2
7 6
5
3
2
(−6 −1 −3) + (−2 −3 4) =
4
8 6
0
7 −1
3)
2
4
8
3 −5
[−7 0 ] + [ 10 −6 −7] =
−3 0
3
3
2
4)
4
−2 2 −2 −7
(
) x (−3
0
5 0 3
4
−5
5)
−3
( 7 2 − 3) x ( 4 ) =
2
6)
(
2
−7) =
3
4
4 11 0
2 −3 5
)x(
)=
16 −9 1
6 −4 8
For questions 7, 8 and 9, find the transpose.
7)
2 3 −3
A = (4 1 −7) , AT =
5 2 8
8)
2 3 4 −5 9
A = ( 6 1 3 2 5 ) , AT =
0 4 2 −1 6
9)
a = [−2 7 −19] , aT =
10)
Find ATA for the following matrix. What types of matrix are the result? (Hint: the matrix
is of 2 types)
11)
A=(
2 1 0
)
3 −2 1
A=(
1 −2 4
). Show that AI = A and IA = A.
3 7 −1