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

please find attached file 🙂

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