B. Given the matrix 1 20 A 0-1 4 52 a Find the value of a for which the matrix is singular.

Q: T 1 0 +2 0 2 3. Find the matrix A if : 3 1

A:

Q: . Given the matrix A 2 4 find the matrix 41 − 4A − A² + A³ - 4 −3 – 1 1 1 - 2 4

A:

Q: Diagonalize the given matrix A and hence find A². 10 -2 -5] 2 3 3 5 A = -2 -5

A:

Q: Show that the matrix A is positive definite A = 2 1 12

A:

Q: Find out the pivots of the following matrix and comment whether it is singular or not. 2 0 0 1 10 0…

A:

Q: E = 5 -2 -4 3 2 2 -4 -4 -4 0 -3 2 3 2 4 4 -2

A:

Q: Find x and y such that the rank of matrix A is 2. 1 0 a – 1 0 у- 2 г+1 -5 A = 4 x = Ex: 5 Ex: 5 С y…

A: We are using rank nullity theoram  Rank(A) + nulity(A) = number of coloumn in A.

Q: 5. Describe to Mr. Dr. Prof. Meso how to input this matrix into mathway, and use mathway to reduce…

A:

Q: .

A: A=02-123-2-1-20 To find: An orthogonal matrix U that diagonalizes .

Q: which of the following is the cofactor A13 of matrix?

A: Simply omit that raw and column whose co-factor matrix required and write rest all elements in same…

Q: 2 Discuss whether the matrix A 1 2 0 is diagonalizable or not. -3 5 2 ||

A: A matrix is said to diagonalizable if for every eigen value's algebraic multiplicity is equal to its…

Q: [a b] [add] c A² − (a + d)A + (ad – bc)I = 0 Show that the matrix A = satisfies the equation

A:

Q: Matrix Given A=  3 −1                 −3 1 compute 4A

A: Given that  Matrix A  To find the 4A

Q: [1 0 2] 1 2 is diagonalizable. Justify your answer. 0 0 0 9. Determine if the matrix A = 1

A: If minimal polynomial having a repeated roots then that matrix is not diagonalzible.

Q: 8 9 11 12

A: matrix A is in dimensions 2*3 Matrix B is in dimensions 3*2 So multiplication of A and B= [AB] [AB]…

Q: Show that the matrix A = singular. 1 -2 3 4 0 5 0 is 60

A:

Q: Use the reduced echelon form of the matrix A shown below to find the factorization A = CR. 1 2 0 11…

A:

Q: 2. Let A and B be rational matrices, let b and d be rational vectors, and let a be a rational…

A: Given:Let  and  be rational matrices, let  and  be rational vectors, and let be a rational number.…

Q: Find the cofactor matrix of the following matrix 1 0 1 A = 4 -2 5 1

A:

Q: Find the QR factorization for the matrix A. (Enter sqrt(n) for Vn.) -6 2 A = 3 4 88 R =

A:

Q: Find values for the the entries in the first matrix to satisfy this equation [0 0 5 5][11 13] 0034…

A: Topic- multiplication of matrices we are given 5534=11133035

Q: Determine if the columns of the matrix A = Yes O No -2 1 40-4 are linearly independent. 24 6

A:

Q: You must figure out the matrices A, x, and b that express the system of linear equations given as a…

A: Let us consider the system of equation…