Give the 4x4 matrix that rotates the points in R about the z-axis through an angle of - 60°, and then translates by p = (2, – 5,1). Let A be the matrix described above. Find A.

Q: Find the coordinate matrix of x in R" relative to the basis B'. B' = {(6, 0), (0, 2)}, x = (48, 10)

A:

Q: For the matrix A, find (if |

A: Given,          A=2-250  3-20-12

Q: Find A by transforming the columns of the identity matrix, e, and ez. 1 0 1 12 0 1 e1 e2 1 Reflect…

A: The transformation matrix A is, 0 1 1 0

Q: Use software of your choice to compute T2, T, T®,T16 – this is most easily accomplished by squaring…

A:

Q: Find a matrix B such that AB = I, where 4 1 1 0 A = and I = -4 4 1 a b Hint: Let B c d B =

A:

Q: Use the given information to find A. A-1 [$3 4 5 5 12 NOTE: Write the elements of the matrix…

A: Topic = Matrix

Q: Find the coordinate matrix of x in Rn relative to the basis B′.B′ = {(4, 0), (0, 3)}, x = (12, 6)

A: Given B′ = {(4, 0), (0, 3)}, x = (12, 6) Let the coordinate matrix of x in Rn relative to the basis…

Q: Find the matrix associated with each of the followingquadratic forms: 3x2 − 5xy + y2

A:

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

A:

Q: Determine the matrix that produces the pair of rotations.60° about the x-axis and then 60° about the…

A: Letxyz be a vector'R' be a rotation matrixThe position of the vector after rotation is = Rxxyz(i)…

Q: Find values for the variables so that the matrices are equal.

A: Given that the matrices are equal. x4=6y

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: Given the matrix 2 2 2 A = 0 2 3 7 7 1 Find the |A| by transforming the matrix A to the triangular…

A:

Q: Find the matrix E so that EB=C, where |1 a2 az 0 B2 B3 a1 a2 dz B= b, b, b, & C= |C1 C2 C3 with a,+0…

A:

Q: Find a matrix A such that W = Col A. W [2s-5t] 2t 2s+t :stin R

A:

Q: Find the coordinate matrix of x in R" relative to the basis B'. B' = {(-8, 9), (3, –2)}, x = (-37,…

A:

Q: * ( For the matrix shown find (- 3 A 3 - 1 4 1 A = %3D 1 1 6.

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: -4x – y – 6z = -39 -9x + 7y + 4z = 47 – 7x – 6y + z = -52

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: Determine if the matrix A = -1 1 1 is diagonalizable. If so, find P, D, so that -3 -1 -3 DDD-1

A:

Q: Find the specified change-of-coordinates matrix. Let B= {b1, b2) and C= {c, c2) be bases for R?,…

A:

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

A:

Q: Consider the matrix below A= 3 -2 4 0 -6 7 a 1 2 -2 1 -3 -4 3 1 2 Find the minor and cofactor of a

A:

Q: For the given matrix, find an orthogonal matrix P and a diagonal matrix D such that P'AP = D. (Enter…

A:

Q: Find the matrix associated with each of the followingquadratic forms: 2x2 + 3y2 + z2 + xy − 2xz +…

A:

Q: Find the matrix E so that EB=C, where a, a, a, B= b, b, b, & C= 1 а, а, 0 8, 8,

A: Given that the matrix B ad C To find the matrix E so that EB=C with a1 is not equal to zero.

Q: Find a matrix B such that AB = I, where [ ] 8 1 1 0 A = and I = -8 8 0 1 1 a b Hint: Let B = %3D c d…

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: Find the matrix P that multiplies | y| to give P = א א

A:

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)…

A:

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

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: decide whether or not the given matrix A is diagonalizable. If so, find an invertible matrix S and a…

A: Consider the given matrix: Here the objective is to check whether the given matrix is…

Q: Find the coordinate matrix of x in RM relative to the basis B'. B' = {(8, 11, 0), (7, 0, 10), (1, 4,…

A: Given that, B'=8, 11, 0, 7, 0, 10, 1, 4, 6 and x=5, 34, -2

Q: Given the matrix 2 22 A = 0 2 3 7 7 1 Find the |A| by transforming the matrix A to the triangular…

A:

Q: 4 3 A = 1 2 2 4 1

A:

Q: For the matrix A, find an orthogonal matrix P such that P-'APis diagonal. 3 00 A =| 0 2 2 0 2 5

A:

Q: Take the system æ' = 10x? + 10y2 + 9xy, y' = e10x + 10y?. The Jacobian matrix is help (formulas)…

A:

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

A:

Q: Find all a > 0 and B>0 so that the matrix 3 2 B A A =| a 5 B 1 is strictly diagonally dominant.

A: The given matrix,A=32βα5β21α

Q: Find the coordinate matrix of x in R" relative to the basis B'. B' = {(8, 0), (0, 9)), x = (16, 54)…

A:

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: Find the standard matrix of the compositetransformation from R2 to R2. Reflection in the line y = x,…

A: Given: The reflection is in the line y=x. And is followed by the counterclockwise rotation through…

Q: Give the 4x4 matrix that rotates the points in R about the z-axis through an angle of -30°, and then…

A: We have to find the 4×4 matrix that rotates the points in R3 about the z-axis through an angle of…

Q: Given the cofactor of matrix A, What is the adjoint of A?

A: Adjoint matrix is the transpose of cofactor matrix.

Q: For given symmetric matrix A, find a diagonal matrix D that is congruent to A.

A: Given :      Symmetric matrix A   To find:           A diagonal matrix D that is congruent to A.

Q: * For the matrix shown, calculate 3 2 A , where A = -1 4 1 1 1 6 3

A:

Q: Find all a and B> 0 so that the matrix 4 a 28 5 4 2 is strictly diagonally dominant.

A: In a diagonally dominant square matrix, the magnitude of the element corresponding to the diagonal,…