Assume that T is a linear transformation. Find the standard matrix of T. 2 2 T: R² R², rotates points (about the origin) through - T 6 radians. www A= (Type an integer or simplified fraction for each matrix element. Type exact answers, using radicals as needed.)

Q: -1] 6 M = |-4 -5 1.

A: The given matrix is: M=30-1-4620-51 The inverse of the matrix is:…

Q: ..... A= -1 1 is diagonalizable. Select one: True False

A:

Q: 0 -2 -1 1 21 3 C= 1 2 Step 1: Find the determinant. Step 2: Find the minors and cofactors Step 3:…

A: Given: C=1021-232-11

Q: Let a = (0, 2) and b = (- 5, 1). %3D %3D | Find the angle between the vector, in degrees.

A: Given vectors are: a→=0, 2 and b→=-5, 1

Q: E = 5 -2 -4 3 2 2 -4 -4 -4 0 -3 2 3 2 4 4 -2

A:

Q: Find each scalar multiple. aа. 2(3, 1) b. 3(-5, 1) c. -(-6. 0)

A: Given: a)  23,1b)  3-5,1c) -12-6,0 To determine: Scalar multiple in each case.

Q: Find the roots or values of x to this matrix equation.

A:

Q: 1. Give the 2 x 2 matrix that represents the 45° clockwise rotation about the origin.

A: Solve the following

Q: 3 7 -3 -3] 3. 4 3 Ans. -1 I3 4

A: We need to find the inverse of the matrix 133143134 Let A=133143134 The formula to find the inverse…

Q: 2. Write the matrix that could be used to rotate a vector 200 degrees clockwise about the origin.…

A: We have to find the matrix that could be used to rotate a vector 200 degrees clockwise about the…

Q: Find the transpose of the matrix. 4 5. D = -2 -1 -3

A: The transpose of a matrix can be  found by interchanging its rows into columns or columns into rows.…

Q: 1 1 1 121 N 3.

A: To Find the inverse of the matrix

Q: Let -4 -1 7 -11 3 -1 A 13 -1 1 -3 13 -1 1 -3 Find orthonormal bases of the kernel and image of A.…

A:

Q: Find the domain, range, matrix, and, when A =B, the diagraph of the relation R.

A: We have to find the domain, range, matrix, and, when A =B, the diagraph of the relation R.

Q: Find the domain, range, matrix, and, when A =B, the diagraph of the relation R.

A: apply the concept of relation    R={(a,b)|aRb such that a<or=b}

Q: Find the sum of Matrix A and B: [2 5 81 A 1 2 4 [3 2 8 Find AB A-] - [₁3] 1 8 [58 7 B = 4 2 2 [124]…

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Q: Find the transpose of the matrix.

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Q: Find the inverse matrix. Must show work and label each step as a linear combination of row…

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Q: -3 7 -5 F = -1 12 -29 -1

A: F=-37-54-112-29-1 The minor of an element aij is the determinant obtained by deleting ith row and…

Q: 3 -1] M = |-4 6. 2 -5 1

A:

Q: (00) {}} transformation such that [L]B matrices. Let B = be an orthogonal ordered basis for R³, and…

A: Basis: A set S of vectors is said to be a basis of the vector space V if S is linearly independent…