(1 2 3 2 (b) Find the rank of the matrix A = 2 3 5 1 1 3 4 5

Q: 1 4 2 3) Find the null space of the matrix A = |0 L-2 1 1 -1 -8 -4 -2

A:

Q: [1 2 31 What is the trace of matrix A? A = 4 -2 3 [4 7] O -6

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: 4 1 34. The rank of the matrix A = 2 -1 is -7 -14 4 8 -1 (A) 1 (B) 2 (C) 3 (D) 0 (E) 4

A: To find The rank of a given matrix A.

Q: 3. (a) Solve the matrix equation for X: -1 0 1 1 2 1 1 -3 1 -1 3 1 -1

A: If Ais a m×n matrix and B is a n×p, then AB is m×p Hence here X is 2×3 Let X = abcdef Thus…

Q: Example 4.16. Using House-holder's method, reduce the following matrix to the tri- 1 diagonal form:…

A: First check  about the symmetricity (A square matrix  A is called symmetric if A=AT) AT=143412321…

Q: 2 1 -1 3 1 2 1 2 0 b) Calculate the rank of the matrix P = 3 1 1 1 |-1 -5 -3 -7 3

A: Given,

Q: -1 10 2 4 5 2 10 coeFFICient of matrix (A) 2 3 -5 2

A:

Q: -2 1 -1 -3 1 3 b) Find the Rank and Nullity of a matrix A = -2 -1 1 -1 3 3 9 0 -12

A: Concept:

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

A: We have to find the rank of the given matrix…

Q: -1 2 3 - 5 2 , Find the rank of the matrix 3 - 8 5 5 -12

A: The matrix is given as -123-22-5123-8525-12-16 Convert this matrix to echelon form Consider…

Q: 1 0 2 2. Given the matrix, A = 2 -1 3 find A-1, using the Gauss-Jordan method 8

A:

Q: 2 1 -1 3 1 9. Calculate the rank of the matrix P = | 2 1 2 0 3 1 1 1 |-1 -5 -3 -7 3|

A: P=210-131212003111-1-5-3-73

Q: [1 0 [9 0 01 c) A-2 = |0 4 0 Lo o 1l 9. Find a matrix A that satisfies a) (3.4) =0 -1 1 |0 0 -1| 2.

A: ANSWER :

Q: Express A and A-1 as a product of elementary matrices. 0 5] A = 0 1 6 1 0 3] [1 0 5] 0 31

A: Here in the given question matrix A is given and objective is to express A and A-1 as  a product of…

Q: 2 3 4 Find the inverse of the matrix (A-1) if A = 3 4 2 4 2 3 -1 Also check if A, A IS SYMMETRIC ?

A: See the attachment. Send your feedback please.

Q: [1 -3 Determine the matrix -31 if it is a linear combination of a b

A:

Q: 2 1 0 -1 3 1 Calculate the rank of the matrix P = 1 2 0 3 1 1 1 -1 - 5 -7 3 -

A:

Q: ' 1 2 3 What is the rank of the matrix A = -1 1 3 0 -1. O 2 O 3 O 1

A:

Q: 24 --8 Find the rank of the matrix A =0 1 -2 4 8 -18 rank(A) =

A: given matrix is  A=-24-801-2-48-18 to find the rank of matrix

Q: 1 -2 0 4 3 Calculate the rank of the matrix P = 1 1 -1 -5 -1 3 8 2 -12

A: The matrix P is,P=1-2043110-1-5-18382-12To find its rank.

Q: What is the rank of the matrix?

A:

Q: (2 3 0 Question 1. Is the following matrix positive definite? A = 3 4 0 ]? 0 0 3 Yes No

A: Solution..

Q: -2 -1 -3 1 Determine the rank of the matrix 1 0 1 -1

A: Rank of the matrix

Q: 1 -2 0 4 3 1 1 Calculate the rank of the matrix P = -1 -5 -1 2 -12 3.

A:

Q: 1 -2 0 4 3 18. Calculate the rank of the matrix P 1 1 -1 -5 -1 8 2 -12 3.

A: Rank of a matrix is the maximum number of linearly independent rows of a matrix. The rank of a…

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

A:

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: 3] [1 2 Find A¹ of The Matrix A = 3 2 -1 3 1 2]

A: As per the instruction, we will be answering the first one. Given: Now,…

Q: 1 -2 find A³. Given the matrix A = %3D -5 АЗ

A:

Q: (2 5 4 2 5 0 For the matrix A = what is the value of |A|? \3 7 9, A. 176 В. 89 С. О D. - 4

A:

Q: [1 2 3 1 5 L5 6 0. Q3/: Consider the matrix A = 0 find A-1.

A: Given, A=123015560

Q: -3 4 0 3 2 1 -1 3 о 1 -1 0 0 0 5 0 0 0 0 4 der the matrix A = 1 3 8. 1.

A: In this question, the following conditions are checked. Lower triangular matrix. Diagonalizable.…

Q: 1 0.1 0.9 3 -12 6 Given Matrix A = 4. 1 -5 5 1. 17 6 -2

A:

Q: -2 1 4 Determine if the columns of the matrix A = 4 0 - 4 are linearly independent. 8 5 2 ... Yes No

A:

Q: 3. (a) Solve the matrix equation for X: -1 0 1 2 0. 1 1 3 1 1 3 1-1

A: Explanation: To solve the matrix equation. X-101   110   31-1=120  -31-1 The resultant matrix is…

Q: Г1 9 2 5 5 3 What are the dimensions of the matrix[4 4]?

A: The given matrix has 4 rows and 2 column.

Q: 1 -2 4 For the matrix A = 2 0. 6. what is the value of |A|? %3D 3 7 3.

A: Given, A=1-24206373

Q: 1 2 4 Suppose matrix A: A=3 16 x 3 2 Determine the value of x if matrix A is singular.

A:

Q: 1 4 5 Let A = 8 8a -6 . If a = -1 then the rank of a matrix a |1+a? 8a+4 2a+21 A is

A:

Q: 4 -3 2 Given the matrix A = 5 -2 0 \1/2 3 7 -5/2/ (a) Calculate az31 + a13 and az4 + a24 (b)…

A:

Q: of linear equations correspondingto the coefficient matrix A below. 6 -2 01 -6 -5 0 1 20

A:

Q: 4] -9 0 -8 1 1 -2 -2 13 Consider the matrix -4 3 -1 2 1

A: let B=1-2-21342-43-90-121-81 claim- to find the right inverse of the matrix

Q: 8 -6 Find the matrix P that diagonalizes A and the resulting diagonal matrix D. -2 4 4 3 1 D= P =…

A: The solution is given as follows :

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

A:

Q: 3 -1 6) If X = is a matrix of order 2x1, given that A= [1 2 B = C = find the matrix X such that AX…

A: Given A=3-112, B=31, C=1-2 and X=pq

Q: -2 0 4 3 1 -1 -5 -1 1 b) Calculate the rank of the matrix P = 8 2 -12 3.

A: P=1-2043110-1-5-18382-12