Give the matrix associated with the quadratic form 10(x,)? – 5x,x2 +6(x,)².

Q: Find a 2 x 2 matrix A for which {;}. 5 E1 = span = span

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

A: Solution: Consider the given quadratic form is: 2x2 - 3y2 + z2 - 4xz we know that if ϕ =…

Q: Find the inverge of the 2x2 matrix Cos t Sin t - Sine Cose

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Q: 2x1- 3x2+ 2x3= 9 3x1- 2x2+ X3 = 4 X1 - 4x2+ 2x3 = 6

A: Given system of linear equations is ,                        2x1-3x2+2x3= 9…

Q: At Compute the matrix exponential e for the system x' = Ax given below. x₁ = 37x₁ - 36x₂, x 2 = 34x₁…

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Q: find the twelfth pawer X of the matrix X that satusfies the Equation 12 X A = AD

A: XA=AD⇒X=ADA-1⇒X12=ADA-112=ADA-1·ADA-1·…·ADA-1=ADA-1ADA-1A·…·A-1ADA-1=AD12A-1

Q: Find the symmetric matrix A associated with the given quadratic form. 2x2-3y2-z2-4xy

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Q: Consider an n x n matrix. Give 3 equivalent conditions for A to be invertible

A: Let A be an n×n matrix. we have to give 3 equivalent condition for A to be invertible. Conditions…

Q: Find the matrix C such that BC = AT

A: Let A be an n×n matrix, Then the transpose matrix of A is also an n×n matrix denoted by AT. Now,…

Q: Find x such that the matrix is singular. 4 X A -2-6 X3D

A: Given Matrix is, A=4x-2-6 we know that, A matrix is said to be singular if it's determinant is zero.…

Q: In the Attached Problem, show that the matrix A is nilpotent and then use this fact to find the…

A: Given A=1-11-1

Q: Find x such that the matrix is singular. A- -2

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Q: Find a (2x2) singular matrix A that maps (3, 1) into (2, 4).

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Q: Now assume that f and g are both C2. Express the matrix of second derivatives V²F(x) in terms of f…

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Q: ind the 3x3 matrix that is equivalent in it's action to each of the

A: Given: To find 3×3 matrix that  equivalent to the symmetry operators are, a  S^2zb  C^2z

Q: A = 2 - 4 4 -2 6-9 7 -3 -1 -10 18 -7

A: Sol

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

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Q: Find the inserve if it exists, of the following matrix. 1 -1 2 1 1 1 1 2

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Q: Find all aclh for which the matrix A = [at3 2 b non-singular.

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

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Q: Find the value of x so that the matrix is not invertible. 1. 3 2 0 [ 1 2 1 If answer is in decimal,…

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Q: Find the inserve if it exists, of the following matrix. 1 2 1 1 1 2

A: The give matrix  is, 1 1 -1 2 -1 1 1 1 2 The determinant of the above  matrix is,…

Q: Solve the following linear system of equations using Cramer's Rule

A: We have to solve the following linear system of equations using Cramer's Rule.

Q: Let A be 3 x3 R given matrix by over 2. A = -1 Using the result of A find the value (s) of makes the…

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Q: Reduce the quadratic form x2+y²-9xy into a canonical form of the matrix.

A: The given equation is x2+y2-9xy. The standard equation is ax2+by2+cz2+2fyz+2gzx+2hxy. The…

Q: Find value(s) of ß for which the matrix A is singular. —3 - в |-2 B 1 1

A: Given:         A=β-3-β-2β1β10    A matrix is singular if and only if the determinant of a matrix is…

Q: Find the augmented matrices of th e linear systems x +5y = -1 , -x + y = -5 ,2x + 4y = 4

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Q: Find x such that the matrix is singular.

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Q: For a nonsingular matrix A and nonzero scalar k, show that (kA)-1 = A-1.

A: For a nonsingular matrix A and nonzero scalar K To show that kA-1=1kA-1 Consider a non singular…

Q: hat is the matrix for

A: Given, consider the two-tank system shown below. Each of the two tanks contains 200 gallons of water…

Q: Find a (2x2) singular matrix A that maps (2, 2) into (1, 2).

A: Here in this question find a 2×2 matrix that maps (2,2)  into (1,2). Here i attached solution of…

Q: =) Find the matrix exponential eAt for the martrix 0 2 A = %3D -2 0

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). 3 -4 -3 L = U = A,

A: The solution is given below

Q: Find h and k, consistent: which makes matrix Gud Suo = k

A: We have to find the values of h and k for which the given system is consistent.…

Q: 10 choose a,b,c,d

A: 1. Option a is wrong as the columns of D are LI hence solution will be unique if exists. 2. Option b…

Q: Solve the equation SP = S to find the stationary matrix S and the limiting matrix ¯¯¯P.

A: P is a regular matrix so there must exist a stationary matrix S such that SP=S  Where, S=a bc The…

Q: Find 2x2 invertible matrices A and B such that A + B not equal to 0 and A + B is not invertible.

A: Wee need to find matrix A and B and do their addition and find invertible

Q: Find the 3 × 3 matrix that produces a translation by (8,7) followed by a reflection through the…

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Q: Let A be a nilpotent matrix of order n then A*n = 0 ) nxA = 0 A =nx1, l is Identity matrix

A: A be a nilpotent matrix of order n

Q: Find the singular values of the given matrix.

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Q: Show that the condition number of the square matrix, X (generated with X;j = 461-2), grows i+6j–2 as…

A: We will use the conventional definition of condition number of a matrix.

Q: 2. Choose the rank of the matrix AT

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Q: Find the singular values of the given matrix.

A: Consider the given matrix, A=2102

Q: Find x such that the matrix is singular.

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Q: The mxn zero matrix , denoted by 0mn or simply 0 , is the matrix whose elements are all zero , find…

A: A matrix is a mathematical object containing numbers arranged in rows and columns. The matrix in…

Q: Find x such that the matrix is singular. A = -3 -6

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Q: Compute the matrix exponential e At for the following system x' = Ax. x'1 = 6x1 - 2x2, x'2 = 2x, +X2…

A: Step:-1 Note:- If A is diagonalizable matrix that is,  there exist an invertible matrix P and a…

Q: Write down what it means for a n x k matrix to be singular.

A: As we know, If matrix is singular then it has determinant equals to '0' For Finding determinant…