Use the following set of equ 2x1+ X2- X3 = -1 X2+ X3= 2 X1+ 2x2-X3=-1 Using Gauss-Jordan elimination technique, the value of cc (C4) in the augmented matrix (A| b) after zeroing elements (a T[0.5,2 (0.5 ,2- [0.5-,2,0 None of

Q: B/ Put the following program in matrix standard form Min (z) = 10x₁+11x2 S.T. X₁+2x₂ ≤ 150 3x₁+4x₁…

A: Note: In the given question, the second constraint has to be of the form 3x1 + 4x2 ≤ 200 instead of…

Q: all the If matrix D is a 7 x 4 matrix, and the product of matrix D and matrix E, DE, exists, what…

A:

Q: Consider an 5 x 5 matrix A satisfying the following two properties: (a) Every row has exactly one…

A:

Q: If A = (aij) is the matrix of the quadratic form 7x + 5x, + 2x – 6x1x2 + 12x1x3 – 10x2x3, then the…

A:

Q: Find the symmetric matrix A associated with the given quadratic form.             5x12 -x22 + 2x32 +…

A:

Q: Find k such that the following matrix M is singular. -3 -1 -2 M = -2 1 7+ k -3 -1

A: Given M is a singular matrix,   That is |M| = 0 After solving it we will get the value of k.

Q: Is the following statement correct or incorrect: The matrix notation of the quadratic form Q (xı,…

A: Solution : Given 2 variable quadratic form is                     Q(x1,x2)=5x12-10x1x2+x22 We have,…

Q: 30 is similar-to 0. if and only if The matrix 03 O ant3 O b.a1 Ocaf0 O dat-1

A: We have to solve given matrix:

Q: Find the charo cteristica poly no nomi the matrix A = 3. 3. /- P(x) = 1.

A:

Q: Find k such that the following matrix M is singular. -4 -3 M -4 -4 -14 + k -8 -1

A:

Q: Find a nonsingular matrix P such that P−1AP is diagonal.

A: To find matrix P, set the determinant of . Thus, .

Q: Give an example of a nonzero 2 X 2 matrix A such that A2=O

A:

Q: Find a matrix A such that [is: is a solution for AX=X'.

A:

Q: Calculate the cofactor of the a32 - element in the following 3x3 square matrix: 1/k 1 A = -1 0 1 4 k

A: Let the matrix be A = a11a12a13a21a22a23a31a32a33 Then the cofactor of a32 is (-1)3+2a11a13a21a23

Q: Put the following program in matrix standard form Min (z) = 10x₁+11x₂ S.T. X₁+2x₂ ≤ 150 3x₁+4x₁ ≤200…

A:

Q: Suppose that A+ is a 2 × 2 matrix and that A+ = -A. Show 7.2 that iA is awesome.

A:

Q: Put the following program in standard matrix form: Z = X₁ + X₂ X1+ 5x2 <5 2x₁ + x₂ ≤ 4 maximize:…

A: see below the answer and the explanation

Q: Show that A = P-¹BP. [2-13] -4 and B = 1 -2 -2 2 are similar matrices by finding an invertible…

A: To show that          A=7-132-4, and   B=1-2-22 are similiar matrices.

Q: 2 Prove that the 3 × 3 matrix A = 4 -1 cannot be factored as A = LDL". 1 -1 3

A: In the question it is asked to show that the matrix A=12124-11-13 cannot be factored as A=LDLT.

Q: B/ Put the following program in matrix standard form Min (z) = 10x₁+11x2 S.T. X₁+2x₂ ≤ 150 3x₁+4x₁ ≤…

A: Solution :-

Q: Use the Gaussian elimination (through Excel Application) to find the values of c1, C2, C3, C4 in the…

A:

Q: An n*n matrix C is said to be symmetric if C' = c Select one: True False

A:

Q: Consider the following.   x1  −  2x2  +  3x3  =  3 −x1  +  3x2  −  x3  =  2 2x1  −  5x2  +  5x3  =…

A:

Q: Find the QR factorization of the following matrix using the r 2. Householder method. [1 A = 0 1 1 1…

A: To find QR factorization of the matrix A=1−10011111

Q: B/ Put the following program in matrix standard form Min (z) = 10x₁+11x2 S.T. X₁+2x₂ ≤ 150 3x₁+4x₁ ≤…

A: Given  Min z=10x1+11x2S.T.x1+2x2≤1503x1+4x2≤20036x1+x2≤175x1, x2≥0 which can be written as Min…

Q: A matrix B in Mnxn (C) is called skew-symmetric if Bt= -B. Prove that if B ϵ Mnxn (C) is…

A: Let B be skew-symmetric matrix of order n, where n is odd, then we have

Q: (1) A= BCB, where C is an n x n symmetric positive-definite and B is an n x n symmetric matrix;…

A: In part l, We are given that A=BCB Here, C is n×n symmetric positive-definite. So, xTCx&gt;0 with…

Q: • The Matrix B from 3 × 2 at bj = 1 - is го 1. 2 2. 7 3. -1 4. 1 1 -2 2 3 4

A: concept of matrix  bij=1-i/j , the entries of matrix B is b11,b12,b21,b22,b31,b32

Q: What is wrong with the following "proof" that every matrix with at least two rows is row equivalent…

A:

Q: Find matrix K such that MKN = O if Show complete solution. 1 M = -2 3 1 2 0 0 1 N= 0 8 6 6-1 -4 0 -2…

A: Given- M=14-231-2N=20001-1O=86-66-11-400 To find- K such that MKN=0

Q: .Use the following set of equations 2x1+ X2- X3 = -1 X2+ X3 = 2 X1+ 2x2- X3 = -1 (1) (2) (3) Using…

A: From augumented matrix we can reduce into row echolen form then we can write 3rd coloumn.

Q: 3. Find that whether the following matrix is singular or nonsingular. 8- 01 0 - 0 -5] 0 - O 0

A: Singular and Non-singular matrix- Let A be a square matrix, such that the determinant of A is…

Q: Use the matrix C to find C-1. -5 6 3 2 -2 1 9 7 -12 4 C= 12 2 -7 10 10 3 2 8 7 -4 1 3 9. 23 C-1…

A: Given The given matrix is C=-5632-2197-124122-710103287-4139232

Q: Find the matrix of the quadratic form. 2 4x1 + 6x +3x3-10x1x2 + X2X3 Select one: O A. O B. C. O D.…

A:

Q: Suppose A is a 5x9 matrix and Rank(A) = 3. Find dim(null(A)). 1 O 2 Оз O 6

A: Solution of the given problem is as follows:

Q: Suppose A = QR is a QR factorization of an m × n matrix A (with linearly independent columns).…

A:

Q: 7. If a n x n matrix B is obtained from A, using only m number of row interchanges, then det A det B…

A:

Q: If A is a 7 X 9 matrix with a 2 dimensional null space, what is the rank of A? Could a 6 X 9 matrix…

A: Given that A is a 7×9 matrix with a 2 dimensional null space. We have to find the rank of A. Since,…

Q: B/ Put the following program in matrix standard form Min (z) = 10x₁+11x2 S.T. X₁+2x₂ ≤ 150 3x₁+4x1…

A: The characteristics of a linear programming problem in its standard form are: It should be a…

Q: B/ Put the following program in matrix standard form Min (z) = 10x₁+11x2 S.T. X1+2x₂≤ 150 3x₁+4x₁…

A: Min(z)=10x1+11x2S.T.x1+2x2≤1503x1+4x2≤20036x1+x2≤175where x1≥0, x2≥0   (clearly in the second…

Q: If A is 3x4 matrix and its rok is 2 then the nullity of matrix A will be be determined a) con つのt…

A: Let us consider the matrix A of order n x m  Then the Rank-Nullity theorem is  RankA+NullityA=m Rank…

Q: Find a 3x1 matrix X with entries not all zero such that AX = X , where [1 0 -1] A =1 0 1 4 -4

A:

Q: Let A be an m x n matrix. Prove that if B can be obtained from A by anelementary row [column]…

A:

Q: the matrix correspon ding to the form s elect QLX,,X2, Xq, Xu ) = – 2x1² + 5 x; - 7×3 -4 Xú -6Xi Xz…

A:

Q: Use the Gaussian elimination to find the values of C, C2, C3, C4 in the following matrix equation:…

A: The given matrix equation is…

Q: Consider the following statements. 1-If B is a symmetric matrix of 9x9 so the elements b32 and bz3…

A:

Q: For matrices M and N, the 3rd column of NM is all zeros. Matrix M has 5 columns and none of them are…

A: Please find the detailed solution in next steps

Q: Compute the LU factorization of the following matrix. 1 -1 2 -7 A = 2 -5 1 -2 2 -1 6 -21

A:

Q: [3 Decide whether the matrix A = 0 -3 0 is diagonalizable. If so, find P such that P-1AP L5 is…

A: