Find the value of y in the system whose augmented matrix is given below. 3 -1 O 2t-1 O t -t 2t+1 2. 2) 2. 2]

Q: What is the inverse matrix that can bę used to solve this system of equatlons? I + 2y + 5z = 14 3x +…

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

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Q: 1 Suppose that a 3 x 3 matrix A has det A = 1 and that its cofactor matrix is C = 1 2 |-7 4 2 Find…

A: Formula: Let A be a n×n matrix with non zero determinant then, A-1=1det ACT where C is the cofactor…

Q: For which values of x, y and z is the matrix, -7 7 -10 -3 symmetric? -6 O a) x = – 3, y = – 1, z= -…

A: To find: The value of x,y and z. Given: The matrix -7x-17-10-3yz-6 is symmetric. Concept used: If…

Q: find an elementary matrix E that satisfies the given equation EA = B

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Q: a The matrix U d e must have linearly dependent columns if 0 f f = 0 6 = c = 0 |e = 0 a = 0

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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: A is a 3 x 3 matrix, det(A) = -2. What is the value of det(3A)? %3D -6 O 54 O -54 O 6 O 27

A: Given :-  A is a 3×3 matrix , det A =-2. To Determine :-  The value of det 3A.

Q: Are there values of rand s for which 1 0 O r - 0 s- 4 r+6 7 has rank 1 or 2? If so, find those…

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Q: The following augmented matrix correspond to a linear system in three variables, 25 x, y and z, 01-3…

A: We have to solve the given system of linear equations. A system of linear equations can be written…

Q: 3. Local pollution levels are determined by p(x;y) : R² →→ R', where x is the number of…

A: The Hessian matrix (H) is defined by,                                           H = fxxfxyfyxfyy…

Q: The value of x for which the matrix A = (, ) is singular is a. 0 b. 6 c. -6 d. 12

A: The correct option is C .i.e. -6 .

Q: Each matrix below is obtained by applying Gaussian elimination to the augmented matrix of a linear…

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Q: - In the matrix equation MAT = H, M and T are square r the size of matrix A? (a) 3-by-2 (b) 3-by-3…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: snip1

A: This system of linear equations can have infinite solutions only if the determinant of the 2*2…

Q: Which of the following is not a step involve in Gauss Jordan Method? A reduction of systems to a…

A: We find which of the given is not a step involve in Gauss Jordan Method . A) reduction of systems to…

Q: 1 0 1 Let 0 1 be the augmented matrix of a linear system. 0 0 a+2 a? + 4a + 3 lues of a, if any, for…

A: We have to find the value of a, for which the system has at least one solution.…

Q: (i) (3 3)-C ) - 6 3) y z 5

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Q: 1. for how mony di fferent valves of x NOT Can the matrix T-x 2 3 Itx -I 3 be transformed by ERDS…

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Q: For which values of x and y the following matrix is skew-symmetric? 0 3 6 A =-3 0 x+y x 9 0 OA. X-6,…

A: Correct option (C) x=-6 y=-3

Q: a The matrix U d e must have linearly dependent columns if 0 f = 0 b = c= 0 e = 0 |a = 0

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Q: Given. Q(x)=3x² + x} +8x? –2x,x, –4.x,x3 Q(x)=x" Ax wher A is symmetric matrix 1 a, = a, = 3…

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Q: (4) Given matrix A = and that h(T) = T² – 2T – 7, find h(T).

A: We use properties of matrix

Q: - E- is multiplied by is equal to zero, then matrix If matrix A 3 B1 C.o D-2

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Q: c -r and det(A) = 6, which of the following could represent A d -t . Given matrix A =

A: Consider a matrix A. The inverse of the matrix is defined as, A-1=1AAdjA A defines the determinant…

Q: For what value(s) of k is the matrix not invertible? kk 0] k2 2 k 0 kk (A) -3 B C) 4 D -4 -5

A: Solution

Q: Given X, = [-1,0]'.do [-1,1]", go = [2,0] and G(X,)s 2. Then f(X) - f(X1) 2 ((G(X,) means the…

A: As per the question we are given : X0 = [-1  0]T , d0 = [-1  1]T , g0 = [2  0]T , ||G(X1)|| ≤ 2 And…

Q: (4) Given matrix A and that h(T) = T² – 2T – 7, find h(A). 5

A: Matrix Multiplication

Q: For what values of A is the matrix below singular? [λ 9 Lo 9 07 λ 4 4 21

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Q: (4) Given matrix A = 3 and that h(T) = T² – 2T – 7, find h(T).

A: see 2nd step.

Q: If A is n x n matrix and (I- A)² = I- A then O a. AT = A %3D O b. AT A = I O c. AAT = I Od. A? = A

A: We have to solve given problem:

Q: (4) Given matrix A = ( ), and that h(T) = T² – 2T – 7, find h(T).

A:

Q: 2 302 Find the value of a+b for which the matrix A is symmetric, where A= 3 400 0 0 1 2 |b0 a 1.0…

A: For symmetric matrix,    aij = aji     Therefore,    a = 2 b = 2

Q: (4) Given matrix A = G ). and that h(T) = T² – 2T – 7, find h(T).

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Q: (4) Given matrix A = and that h(T) = T² – 2T – 7, find h(T). 5

A: i have answered this question in step 2.

Q: For what value of "c" is the following matrix non-invertible? 2 1 -1 5 4 C 3 0 Oc = - 1 3 Oc = -3 Oc…

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Q: [1 Let A = 2 and V = |1]. What is the sum of the entries of the B = %3D 14 5 1 matrix VT (AT — (А -…

A: We have to find sum of entries of given expression.

Q: 2 The matrix is defined as A=( ) has characteristic equation of 12 + DA+ 3, so the value of D…

A: Value of the coefficient of lyambda

Q: Suppose C(A) = C(A") where A is m x n matrix, then %3D O a. r=m O b. m=n mn

A: option (b) m=n is correct.

Q: Are there values of r and s for which 1 0 r- 4 4 0 s- 2 r + 4 5 has rank 1 or 2? If so, find those…

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Q: (4) Given matrix A and that h(T) = T? – 2T – 7, find h(T). =

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Q: Solve for u, x, y, and z in the given matrix equation. 1 8 y 1 8. -7 -u 7 0 -1 X -1 8. 2z + 1 4 4 u…

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Q: (4) Given matrix A .3 5). and that h(T) = T² – 2T – 7,find h(T).

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Q: Are there values of rand s for which i 0 0 r- 5 0 s-4 r+ 5 0 0 has rank 1 or 2? If so, find those…

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Q: (a) If A=[ay] is a 3x3 matrix; such that ay = i (4-²), find the values of diagonal elements and the…

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Q: Suppose C(A) = C(A") where A is m x n matrix, then %3D O a. r=m O b. m=n C. mn

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Q: Give the value(s) of a for which the columns in the matrix 8. -4 4 A = -4 +а 5 -6 4 -6 10 + a are…

A: We will find out the required values.

Q: (4) Given matrix A= and that h(T) = T – 2T – 7, find h(T).

A: