2 The matrix is defined as A=( ) has characteristic equation of 12 + DA+ 3, so the value of D is..... O a. -2 O b. None of options O c. 1 O d. 3 Ol e. -4

Q: 1. Let, A = -1 21 Find the matrix -5A3 + 2A? + 4A + 512. 9 21

A: Given: A=-1292 Determine A3. A3=-1292-1292-1292=192922-1292=-14218962

Q: Suppose that A (A, then det(B)- Select one: A. 15 OB. 5. OC -15 ODO th ) is a (4 x 4) matrix, where…

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Q: Q2. For the matrix, A = (a) Find 2 Tr (2 A). (b) If A = 21 8 7 4 6 7 5 4 find (A)-².

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Q: Ex. 600. Given the 2x2 Matrix A 1 2 11 3 Determine B=A+A and C=A-A Answers:…

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Q: What is the rank of the matrix A = 2 1 5 -1 2 -5 0 3? -3

A: See this solution in below.

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: ............. 05 Let A = diagonalizable matrix( A = XDX-1), then X and D are: Select one: а. -5 0 1…

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Q: Show that the equation of the line through points (a1, b1) and (a2, b2)can be expressed as the…

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Q: Let B = {b1, b2} and C {C1, C2} be R2. Produce the change-of-coordinate matrix from B to C and from…

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Q: 1 2 Let (A – 21)-1=| 3 4 where / is the identity matrix,then A = Select one: а. 0 3 7 3 2 2 b. 1 3 3…

A: A-2I-1=1234 Taking Inverse both sides, we get…

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: Find the matrix A if 4 1     −1 3A =  3 4     1 2. A =

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Q: 7. (S.15). Find the inverse A-1 of the matrix -2 -3 A = 0 2 -1 -1 -2 3

A: Matrix Question

Q: 3. Let A be a 4 × 4 matrix. Suppose the matrix equation A has solution set 2 -t+8 what is the…

A: Put t=1, s=1. Now we have  A12-1+111=A1211=20-23 Consider the set 12-t+sts-1211

Q: 1 2 Compute the adjoint matrix of A 3 2 2 2 3 Select one: a. -7 4 -5 7 -7 -5 3 -1 -2 %3D -7 -5 41 d.…

A: We have given a matrix and we have to find the adjoint of A.

Q: Let B = {b1,b2} and C = {c1, C2} be R². Produce the change-of-coordinate matrix from B to C and from…

A: The change of basis matrix form B to C (or from the basis B to the basis C ) and C to B where B and…

Q: 15. If A=| B = 0 1 and C = |1 0 then find the matrix (Av B) 0 c

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Q: (A" – 21) * - | ) 3. Determine the matrix A if

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Q: a) Let A and B be two regular (nonsingular) (n, n)-matrices. Determine whether the following is…

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Q: 3. Let A=1 -1 4 -3 7 and B= 6 -24 -6 18 Find the matrix X that satisfies the matrix equation…

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Q: Q2. Apply PA= LU to determine the following matrix A is nonsingular and find A-1: [1 -- -1 A = 2 3…

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Q: x-2 1. A= 3x-6 4x-11 Given that the matrix A is singular, find the possible values of x.

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Q: 1 2 adj of matrix A= 3 4 Select one: a. 4 2 -3 1 O b. 4 -2 -3 1 O C. 4 -2 -3 -1 O d. 4 2 -3 1

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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: 2. Solve for X in the given matrix equation (A – X) =B where A = 3 2 -1 ol and B = MIN2

A: We have to find X

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

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Q: Solve the following equation involving a determinant. If y multiple answers, enter them as a list,…

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Q: Find the value of x if the matnx 1 5] 4 is Singular 2. A = -3 6. 2

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