Q1 (d): Find the rank of the matrix A. 1 0 5 0 1 -2 2 -2 -1 1 -6 3 -2 12 2 -3 0 2

Q: 3. Find the value of a, where A = 43 L-2 0 a -3] 2 is singular matrix.

A:

Q: -2 1 2 -3 A = and B = 1 0 3 -2 Find a matrix X satisfying the matrix equation 5A + X = 3B. X =

A: There are given two matrix A and B We have to find a matrix X satisfying the matrix equation 5A + X…

Q: Let A be a 3x3 matrix which satisfies p(A) =A³-2A?+3A+2I=0. Then A equals OA A2-3A-21 O B.…

A: Given: A3-2A2+3A+2I=0 To Find: A5

Q: z = xªy€ – 2x^y³ x = y = 8s3 a – The first digit of your matrix number c - The last digit of your…

A:

Q: True or false? det1A2 is defined only for a square matrix A.

A: True or false. det A is defined only for a square matrix A.

Q: Perform the elementary row operation - R₁ → R₁ to matrix D to obtain matrix E. -1 0 0 01 2 -2 -2 1…

A: Given a matrix A=1-10002-21240101000215 To perform the row operation -13R4→R4 to obtain a matrix E

Q: Q1: Solve the set of equations using matrix: x+ 2y +3z = 1 y + 4z = 0 5x + 6y = 1

A: The given set of equations are…

Q: (d) Find the approximate solution of the system of equations (using the projection matrix) 3 4 J]-[…

A: Least-square solution: The least-square solution of Ax=b coincides with solutions of the normal…

Q: Q3. Diagonalise the matrix [A]. - 5 -6 6. [A]= -9 -8 12 -12 -12 16

A: To diagonalize a matrix. The following steps are to be followed. To find the characteristic…

Q: -1 3 Q1: Given A = B = 5. 3 find the matrix X if 2xT-AB3D -2 1 -3

A:

Q: -2 2 Find the QR-factorization of the matrix A = 1

A: We have to find QR factorization of given matrix.

Q: Find the characteristics equation of the matrix [1 2 A -2 -1 01 and hence find A-.

A:

Q: Solve for the value of x2 in the system of equations having the augmented matrix below. 3 -2 1 0] 2…

A: To find the value of x2 using the given augmented matrix.

Q: (b) Find the LU factorization of the matrix: 1 -1 A= 3 -4 -2 | 2 -3 -2

A: The given matrix is                                A=1-1-13-4-22-3-2 We have to find the LU…

Q: Find the matrix A of the quadratic form associated with the equation. x2 + y2 - 4 = 0 A =

A:

Q: Let A = -2 1 2 -3 and B = 0 3 1 -2 Find a matrix X satisfying the matrix equation 2A + X = 4B. X =

A:

Q: - 7 - 1 1 9. +X2 -2 1 +X3 1 -7 -4 -2 The matrix equation is Enter your answer in the answer box. 4.…

A: Given :X159-2-4+X2011-1+X3-7-1-7-2=4135                →1

Q: Which of the following are the coefficients matrix and reduced row echelon form of the augmented…

A:

Q: -3 1 4 What is the transpose of the matrix 5 2-1

A: Transpose of a matrix can be found by interchanging the rows into columns or columns into rows.

Q: -9x+7y=3 3x-6y = 5 What is the augmented matrix?

A: As we know that: if the equations ax+by=k1 and cx+dy=k2. then the augmented matrix can be written…

Q: Solve A x A T matrix: A = -2  1  -1 3   -3   2

A:

Q: Q1: Solve the set of equations using matrix: x+ 2y +3z= 1 y + 4z = 0 5x + 6y = 1

A:

Q: Q8: Given that -2 X = 1 8 -8 -9 -9,Z -7 7 -2. -8 5 what is the matrix 3X + Y – 3Z?

A:

Q: Q4: If the matrix A = (; :),s Show that A2- 2A – 21 = 0.

A: We observe that characteristics eqn of A will be x^2-2x-2=0. By Caley hamilton tum put x=A we get,…

Q: -41 Find the adjoint matrix of ": A. -2 C. 4 21 -2 В. 4 B.) [2 4 D. 01 -1

A: Given matrix is 1-402

Q: Q1: Solve the set of equations using matrix: x+ 2y +3z 1 y + 4z = 0 5x + 6y = 1

A:

Q: A B А - R B Matrix becomes C D с D-R

A:

Q: Q3. Decide whether the matrix is invertible, and if so, use the adjoint method to find its inverse 5…

A:

Q: b. Solve the following set of equation by the use of the matrix inversion method 3x, -x, +x, = 2 2x,…

A: System of Linear equations.

Q: 3 Let A = 1 Solve the matrix equation -3 XA – X = 2AT +I for X.

A: X is a matrix below

Q: B) find the transpose of the matrix A C = 3 2

A:

Q: Find the rank of the following matrix. -1 3D1 0. 3. 4 2 1 4 |

A: given matrix is -1-100002340-213-104find the rank of the matrix

Q: 3 1 For Exercise, perform the elementary row operations on the matrix A = | 1 5 -3 6. R1 = R2

A:

Q: Find the transpose of the matrix. -2 -1 D = 1 4 -3

A:

Q: Find the matrix A if 2 1 A = 4 2 %3D -1 3 1 3 B3: A =

A:

Q: Find the rank of the matrix -1 3 A = -2 -3 0 1 2 3 -2

A: The rank of a matrix is the number of non-zero rows in the row echelon form of the matrix. We need…

Q: An identity matrix is represented by... О а. Нн-1 O b. H-1H О с. Нн-1н

A: If we multiply a matrix by its inverse we get the identity matrix.

Q: Find the value of z in the equation matrix. 4 + 2 a. 1/2 C.-1/2 b. 1/4 d.-1/4

A: We have to solve the problem

Q: Solve for unknown matrix X in the matrix equation X +3A=B where: -5 4 A = -3 7 2 6 -7 12 7 0 X = 4 3…

A:

Q: Q2.Find the rank of the matrix B. r1 -1 3- 4 B= 3 1 1 -1 1 1

A:

Q: Q6/ Find the detemination of matrix:- 2 1 5 1 B 1 1 2 2

A:

Q: Q2: Given that A = .3 -2 = what is 2(A+ B)" in matrix form? and B

A:

Q: 7x+14] 1. What value of x satisfies the matrix equation Зх-2 x+8 5

A:

Q: G1/ Find A of the matrix 3. - 1 6. 3. %3D 2. - 4 2.

A:

Q: -2 9 For the matrix B = 1 if |B| = 0, what is the value of y? 1 Y 93m3

A:

Q: -7 - 1 1 1 +X3 1 9. X1 + X2 -2 -7 -4 -1 -2 The matrix equation is 4. 3. II

A:

Q: Find the transpose of the matrix. -1 1 D = 5 -3 -2 4

A: Given D=-115-3-24We know that transpose of matrix A=1234 is AT=1432

Q: Find a non-zero 2 x 2 matrix such that -6 -8 30 40

A:

Q: Q5. Diagonalise the matrix [A]. 4 3 3 [A] 3. 6. 1 %3D .3 1 6.

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.