Find the rank of the matrix below. [10 9 A = 3 -1 4 4 1 3-1 2 1 7 0 19 -1

Q: Use the following matrix. 10-2 3 2 A = 1 40 3 ? What is the element a 31? a31

A: The given matrix is A=10-2321403. We have to find the element a31.

Q: 2. Find the matrix product, if possible. 7 [-926] 0 -3

A:

Q: 1 1 2 A = 0 1 2 3 12 1 2 3 B 4 3 6 5 5 10

A:

Q: 5. Diagonalize the following matrix. 3 B = -3 4 9

A: Let A = aijn×n be any n-rowed square matrix and λ is a scalar. The equation AX = λX is called the…

Q: Use the matrix below. Find a 23 A = 00-3 5 6 3 -1 0 44 in matrix A. 2-5

A:

Q: Can you find the A (matrix) for the following? Can you use the transpose properties, such as taking…

A:

Q: Find a matrix X such that AX=B 0 6 A = [²2 -B = [1 2 ] 91 L7 8. 4

A: Given that we have to find a matrix  .Obviously order of the matrix  is .Let Now so  ,

Q: [2 0° 0 3 2. similar to matrix 1 ? 0 3 Is matrix

A: The matrices A and B are similar if there exists an invertible matrix P such that B=P-1AP

Q: Determine the dimension of the matrix. 3 -9 4 -8 -6 7 10 6 1

A:

Q: Find the rank and nullity theorem for the following matrix(in image).

A:

Q: 2. Find the rank of the matrix 1 3 4 5 8 9. 10 11 12 13 14 15 16

A:

Q: Let A = -78 86 3X= 4A + 3B and B = 2-6 7-8 X = (Simplify your answer.) Find a matrix X satisfying…

A: Here we have to find the matrix X such that 3X=4A+3B for the given matrix A and B.

Q: -1 2 31 13 9-1 0 Find the transpose of the matrix. -27-2 3 Choose the transpose. O A. - 1 9-2 OB.…

A: Use transpose of matrix