Let p(x) = x³ – 2x + 4 and compute p(A). |2 A = |0 -3 4 NOTE: Write the elements of the matrix exactly.

Q: Find the matrix A of the quadratic form associated with the equation.x2 − 4xy + y2 − 4 = 0

A:

Q: Find the matrix of the quadratic form. Assume x is in R°. 5x - 4x3 + 3x3 + 18x,x2 - 4x,×3 b. 3x -…

A: We want to find matrix of given quadratic form.

Q: -1 Find all values of x such that the matrix 8 is not invertible.

A: A matrix is invertible, if the determinant of the matrix is not equal to 0 . Suppose a matrix B is…

Q: Find x such that the matrix is equal to its own inverse. A = -5 -6

A: Given A=6X-5-6

Q: Let A be the coefficient matrix of the system of equations X1 – x2 = -2 8x1 – 7x2 = 0 -7 1° Use the…

A: Here we have,  x1-x2=-28x1-7x2=0 we have to use the inverse of the matrix A-1=-71-81 to find the…

Q: 6. Find the matrix of the quadratic form. Assume x is in R³. a. 3x} – 2x3 + 5.x + 4x1x2 – 6x1X3 b.…

A:

Q: For the matrix A, find (if possible) a nonsingular matrix P such that P-'AP is diagonal. (If not…

A:

Q: For the matrix A, find (if possible) a nonsingular matrix P such that P-AP is diagonal. (If not…

A: We have to check whether there exists an invertible matrix P for the matrix A=-500-4-22-20-2  such…

Q: Let p(x) = x³ – 2x + 4 and compute p(A). | | 1 A = |0 -3 0. NOTE: Write the elements of the matrix…

A: Here we find the p(A).

Q: Find x such that the matrix is singular. X 3 A = -7 2 X =

A: Singular Matrix - A matrix is said to be singular if and only if its determinant is equal to zero.

Q: Find the matrixx such that 2A + B + X =0 where 1 2 3 -2 A = %3D 3 4 1 5 Select one: a. -1 -2 -7 13

A:

Q: Find the matrix of the quadratic form. Assume x is in R2. a. 1x21 – 4x1x2 + 5x22 b. 3x21 + 2x1x2

A:

Q: 3. Find the matrix X, such that XC - 2C = DXC satisfies. 3 4 4 4 1 C = 1 2 1 D = 1 0-2 4 1 -1 -3

A: Since there are multiple questions, we are solving the first question. Please post the questions…

Q: Find 2 X 2 matrices A 0 and B # 0 such that AB = 0. Can you find a matrix A + 0 such that A2 = 0?

A:

Q: 3. Find x such that the matrix A is equal to its own inverse. A = G %3D

A:

Q: Invert the following matrix 3x – 2y = 9 -x + 3y = 3

A: Solution: Consider the given system of equations: 3x - 2y = 9-x + 3y = 3 The coefficient matrix of…

Q: Find x such that the matrix is singular. [ х 3 A = -9 8 X =

A: The given matrix is: A=x3-98

Q: Find the singular values of the given matrix.

A: Given; Matrix A To find: Singular Values of A  Procedure: Calculate eigenvalues of ATA. The…

Q: Let A be an Xn matrix satisfying A-34 +I= 0 where 0 is the nXn zero matrix. Then A = A² - 31, A= =…

A: The objective is to choose the correct option for inverse.

Q: Let p(x) = x³ – 2x + 4 and compute p(A). - -1] A = |0 -4 4 4 NOTE: Write the elements of the matrix…

A:

Q: 32x+y -1 526 -1 x+4y 10

A:

Q: Solve the equation (X – A)B = BC for X, assuming A, B, and C are all invertible (note that A, B, C,…

A:

Q: Find ∣A−1∣ for the matrix

A:

Q: Solve for the matrix X if AX(D + BX)-1 = C. Assume that all matrices are n X n and invertible as…

A:

Q: find a non-zero 2x2 matrix such that:    [  -4     7  ]            [  a   b  ]         [  0     0…

A:

Q: (b) Find a real symmetric matrix C of the quadratic form: Q(x1, x2, x3) = x+ 4x3+ 6x3+ 2x1x2…

A:

Q: Let p(x) = x³ – 2x + 4 and compute p(A). 1 -1 A = 0 0 -3 2 0 4 NOTE: Write the elements of the…

A:

Q: Find x such that the matrix is equal to its own inverse. A = -3 -5 X = 6

A: Given,A = A-1AA-1=IAA = IA2 = IA = 5x-3-5

Q: Let p(x) = x³ – 2x + 4 and compute p(A). - -- A = -3 2 4 NOTE: Write the elements of the matrix…

A:

Q: For which values of x is the matrix singular? x² 4] 2x 1.

A:

Q: Find an invertible matrix P and a diagonal matrix D such that PAP=D. -2 00 A=-6 -2 6 -1 0 -1 3x3 3X3…

A:

Q: For the matrix A, find (if possible) a nonsingular matrix P such that P- 2-2 5 0 3-2 0 2 P = A = -1…

A: NOTE: Refresh your page if you can't see any equations. . now matrix is in triangular form…

Q: -2 1 To show that the matrix A = -1 1 satisfies its char- 1 -3 2

A:

Q: The symmetric matrix corresponding to the quadratic form X1 x2 = x} – 2x1x2 + 2x1x3 – 3x + 4x2x3 –…

A:

Q: (-1 2 (b) Compute p(A) for the given matrix A = and the polynomial p(x)=x² – 2x+1 0 3

A:

Q: For each matrix A with real valued entries, find a diagonal matrix D and an invertible matrix Q such…

A: Part(a): Given matrix is, A=1332 Now, finding the eigenvalues of the given matrix,…

Q: Let A be a 3 x 3 matrix such that A4 - 3A³+ 4A²- 613 = 0. Then, A is invertible and

A: Here we have to use the concept matrix.

Q: (k) A= B², where B is a symmetric negative-definite matrix;

A: In part (k), we are given that A=B2 where B is a symmetric negative-definite matrix. Since B is…

Q: find a 3 x 1 matrix x with entries no all zero such that Mx = 1x and            [ 1 2 -1 M =…

A: Consider a system of homogeneous equations. A system of equations can be solved by eliminating some…

Q: 2] find 1 -1 3 - If A = and B 1 |3| -2 (а) ЗА — В. - (b) The matrix X such that 3A – B+ 3X = 0. ||…

A: As per guideline we have to solve only three parts

Q: Let A be the matrix Find p(A). p(x) = x' - 2r + 4

A:

Q: Let A be the matrix 8 Find p(A). p(x) = x – 2x + 4 i p(A) =

A:

Q: 2. Write the quadratic function f(x,,y;)=-3x; +2x,x, – 3x; – 4x, – 4x, +6 in matrix form as f(x) =…

A:

Q: Let A be the matrix 5 3 2 Find p(A). p(x) = x³ – 2x + 4 p(A) =

A: Given: A=5312 and p(x)=x3-2x+4.

Q: Let A = 0 D = P-¹AP. P = -2 -21 -1 Find an invertible matrix P and a diagonal matrix D such that 0…

A:

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: Let A be the matrix 7 1 Find p(A). p(x) = x - 2x + 4

A:

Q: For matrix A if f(X) = X2 + 4, what is the answer to f(A)?

A:

Q: Write an invertible matrix P such that 3 0 0 p-1AP '=|0 -1 0 0 -1 0 0 4

A:

Q: 8. Q1. a) If A = 4 and B = then find the matrix X such that 2A +3X = 5B

A: We have to find the matrix X such that 2A+3X=5B where matrices are given as: A=804-236 and…