Question: Create a 2 - dimensional NumPy array A 1 of shape ( 3 , 3 ) such that the first row should have the elements

Create a

2 -

dimensional NumPy array A

1

of shape

(3, 3)

such that the first row should have the elements

(1, 2, 4) .

The second row should have the elements

(7, 5, 6) .

The third row should have the elements

(9, 4, 11)

Create a

2 -

dimensional NumPy array A

2

of shape

(3, 3)

such that the first row should have the elements

(4, 5, 1) .

The second row should have the elements

(8, 1, 2) .

The third row should have the elements

(7, 3, 2)

Create another NumPy array A

3

which has a shape of

3

2

such that the first row should have the elements

(3, 1) .

The second row should have the elements

(6, 4) .

The third row should have the elements

(2, 5) (25

points

) (

Hint: use functions from numpy.linalig library

)

.

Find the diagonal

(

or off

-

diagonal

)

elements of A

1

and A

2

as a

1

D array b

.

Compute the Matrix multiplication of A

2

and A

3

.

Compute the sum of the diagonal elements of A

1

and A

2

.

Compute the matrix determinant of A

1,

2,

3

.

Compute the eigenvalues and eigenvectors of A

1

and A

2

.

Compute the inverse of a square matrix of A

1

and A

2

.

Compute the Moore

-

Penrose pseudoinverse of a matrices A

1

and A

2

.

Compute the QR decomposition of A

1

and A

2

.

Compute the singular value decomposition of A

1

and A

2

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