s elect the matrix correspon ding to the form QLX,, Xz, Xx, Xu ) = - 2x1²+ 5 X; - 7×3 -4 Xú - 6Xi Xz + h X3 Xi -10X, Xu

Q: find the elelment in the 3rd row and 1st column of the matrix cofactor 7 2 5 3 1 4 1 2 1

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Q: Show that there is no matrix A E M250x250 with real entries satisfying AAT = -I.

A: Given that A is real ( All entries are real)  square matrix of order 250×250. The trace of any real…

Q: If A = (ajj) is the matrix of the quadratic form x + 2x, + 2x? + 6x1x2 – 22x1x3 - 8x2x3, then the…

A: If A=aij is the matrix of the quadratic form x12+2x22+2x32+6x1x2-22x1x3-8x2x3, then we have to find…

Q: Give an example of a 4 x 4 matrix that is symmetric, has with the (2,4)-entry equal to -5, and has…

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

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Q: s elect the matrix correspon ding to the form Q(Xi, Xz,Xq, Xu ) = - 2x1² + 5 x - 7X -4 Xu - 6Xi Xz +…

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Q: Verify that if r < s, then rows rand s of a matrix can be interchanged by performing 2(s - r) - 1…

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Q: 5.)Write the aua mented matrix for the syshem X, +2X,-X, tXc =l =マ+ t bulo

A: We have to solve given problem:

Q: Suppose that 4x7 matrix A has 4 lead terms. Then collA ) = IRt aind NIA) = R³

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Q: z= 5x, + 12x2 + 4 x, S.t X, + 2x2 + X, s 8 2 x, - X2 + Xạ = 8 where x,, X2, Xs 20

A: For a Minimization Problem, The constraints must be in the form≥ in the standard Primal Form.…

Q: If matrix A is 12 xc and matrix K is 4 x t, their product AK is r x 7, what are the values of c, t,…

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Q: What is a, if A = 2 4 is a singular matrix ? a Simplify (1+x)(1+x²)(1 – x + x?) in descending order…

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Q: If A * I = A, and A is a 3x5 matrix, what are the dimensions of I? Show complete solution as proof.

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Q: Possible values of x and y that would make the following matrix A singular, are: 4 -2 A = 2 -1 x y…

A: A matrix is said to be singular if determinant of matrix is zero. Let us find the determinant of…

Q: B = . and = If X is a matrix that Let A = satisfies: Al, = 2B – XC. Then X is %3D

A:

Q: 4. Find the symmetric matrix, diagonal form of the quadratic form Q = 2x? + 2y2 + 2z2 – 2xy – 2xz –…

A: Step:-1 Given quadratic form is  Q=2x2 +2y2 +2z2 -2xy -2xz -2yz Q=xyz 2-1-1-12-1-1-12 xyzQ=XTAXHere,…

Q: C is a 3x 3 matrix with C11 = C2 = C33 2, all other entries are 0. C'C has an entry of in the 2nd…

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Q: s elect the matrix correspon ding to the form 2 Q(X,, Xz, Xx, Xu ) = - 2x²+ 5 x² - 7× 3 -4 Xú - -4…

A: We have to solve given problem: Concept:

Q: We say that, a matrix M is skew-symmetric if it satisfies MT = -M. Show that if a 3 x 3 matrix M is…

A: Skew-symmetric Matrix: A matrix M is skew-symmetric if it satisfies MT=-M where MTis the transpose…

Q: 2 -3 -2 3 1 2 -2 -1 3 3 [ 3 2 -2

A: The given matrix is  A=  2-3-2   3  1   2-2   0-1   3   3   2   3   2   2-2

Q: If Ax = ax for nxn matrix A, nx1 matrix x, and a E R, determine a scalar 3 with the property that…

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Q: Solue the syskm of ezuatoins by matrix メナ3y=7 2メ+y=4

A: 1321xy=74 Let 1321 be A , xy be X and 74 be C   AX = CX =A-1CA-1=1Aadj A A-1=-153525-15

Q: Assume that A is a matrix with three rows. Find the matrix B s trix resulting from A after the given…

A: Given: - A is a matrix with three rows. the given row operations are performed. 5R2+R3⇒R35R1⇒R1 To…

Q: 2 if A=| -3 -2 4 and B= 1 ,find the Matrix X such that 3A+4X=5B 1 3

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Q: 5. Use the matrices to solve the x- 2y + 3z = 4 system: 3x – 4y + z = 4 |2x +3y – 4z = –-2

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Q: 4. Find the symmetric matrix, diagonal form of the quadratic form Q = 2x? + 2y2 + 2z2 - 2xy- 2xz -…

A: The objective is to find the symmetric matrix and diagonal form of the quadratic form…

Q: Determine the cofactor of 2 in the matrix A = 1 9. 7 4 O-4 3. O -3 2.

A: Cofactor of any element aij is the determinant of the matrix formed by deleting row i and column j…

Q: 2. Assuming that all matrices are nxn and invertible, solve for D. CTB-A'BACDA²²B™C-2 = CT

A: We use properties of invertible matrices.

Q: (4) Let A be a 3x3 matrix. If |4|= 2 , then |3.4|=,

A: Given that A be a 3*3 matrix and |A|=2. To find the value of |3A|

Q: Suppose CA = I, (the nxn identity matrix). Show that the equation Ax = 0 has only the trivial…

A: Let A be m×n matrix then Rank(A) + Nullity(A) = number of columns of A Where Rank(A) is the…

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: Find the matrix A (in terms of B and C) if (3.4T + 4BC )T= 5.4 – 3C A)}(4B"cT + 3C) (B)}(4C"BI- 3C)…

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Q: If a 4x7 matrix A has rank 2, find nullity A, rank A, and rank A. nullity A =| rank A = rank AT

A: The given question has been solved in step 2.

Q: Suppose M is a (3x3) matrix such that the dimension of its column space is 2.Then the rank of M is…

A:

Q: s elect the matrix correspon dinp to the form QlX, Xz, Xg, Xu ) = - 2x1²+ 5 x² - 7×3 -4Xu -6Xx Xz +k…

A: Use the fact that aij=coefficient of xixj/2 for I not equal to j And aii=coefficient of xi^2

Q: Find the matrix X, such that XDC - 2XC — ХС? + С satisfies. 3 4 4 6 6 5 C = 1 2 1 D = 1 3 -2 4 -2 -4…

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Q: Find 6x6 matrix | a, that satisfies the stated condition. Make your answers as general as possible…

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Q: Suppose that 4x7 matrix collA) = IR* and A hos 4 lead terms. Then NIA) = R %3D %3D O True O False

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Q: Suppose that Lis symmetric n xn matrix and Ris any n x n matrix (not necessarily symmetric). Which…

A:

Q: Solve the Matrix Equation XAB-BAX=X with A,B,X are nxn matrix with A,X are invetribles.

A: The given matrix equation is, XAB-BAX=X where A, B and X are n×n matrices with A and X invertible.

Q: Find Hhe uinuerse of the matrix (if it exis ts). (if an answer does not exist, enter DNE.) 1 -3 -1…

A: Note:-  We’ll answer the first question since we answer only one question at a time. Please submit a…

Q: e singular values

A: Given, if the singular values of a matrix A belonging to R3x5 are 6,4 and 1. To find:…

Q: 3. Consider 3x3 matrix A the 1 A て 1. レ Colculate the adjoint matrix

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Q: Suppose a 6 x 8 matrix A has four pivot columns. What is the dim (Null A)? Is Col A = Rª ? Explain.

A: see below the answer

Q: If a 6 × 3 matrix A has rank 3, find dim Nul A, dim Row A, and rank AT

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Q: Use Gaussian Elimination to carry the following matrix to a REF: 1 -1 2 3 -2 2 -4 -5 1 -1 1 4 2 -2 3…

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Q: Find the symmetric matrix A associated with the given quadratic form.

A: To determine: The symmetric matrix A associated with the given quadratic form. 5 x12 - x22  + 2 x32…

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: Given the matrices A=[0235], B=[2−2 4−2] and C=[5−5 0 2],,solve for the matrix X in the equation…

A: We have to find matrix X