Find the matrix A of the linear transformation from R to R' given by 5 T 6 x1 + -1 x2. %3D -8 7 A =

Q: find the inverse matrix

A: As per the question, we have to form a 3×3 matrix, given the unique symmetrical elements of YBUS(s)…

Q: a) For invertible matrices A, BER"Xn, show that ((AB)")- = (A-)"(B)".

A:

Q: What is transformation matrix for reflecting over the y-axis? a. b. C. d. e.

A:

Q: Multiply the 4 by 4 matrix T for translation along (1, 4, 3) and the matrix T 1 for translation…

A:

Q: Find the standard matrix for the linear transformation T. T(x₁, x₂) = (0, 0) ↓↑

A:

Q: The matrix for a one-to-one linear transformation from \R^4 to \R^3

A:

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

A:

Q: Find a 3 by 3 matrix that scales the point (x,y,z) by 2 in the x direction and 4.5 in the direction,…

A:

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

A:

Q: > LS A-8 null matrix ?

A:

Q: Find a matrix that implements the linear transformation T(x1,x2) = (3x1-4X2, X1-X2, 2x1 + x2)

A: A linear transformation is a function satisfying the following properties: where x and y are…

Q: 2. Describe the geometry of the linear transformation represented by each matrix. Explain. 3 0 a. ^=…

A: Follow the steps.

Q: 3. Let B = {[4] [7]} and c={[7][7]} 4 9 C a. Find the change of coordinate matrix from C to B.

A:

Q: Illustrate the multiplying any row (or column) by a scalar do to the determinant?

A:

Q: 9. Show that the matrix 0 0 -1 0 0 1 -1 C2 = x, x- will transform the vector y into -y

A: We have to show that the matrix C2 will transform the vector in ℝ3 into the vector -x-yz. First we…

Q: Use the following Zero-one matrices to find A v B, A^B, A ов 1 1 A = 1 1 B = 1 0

A:

Q: Find the matrix A of the linear transformation from R² to R³ given by 1 0 -8 x2. -4 x1 + 2 -6 T…

A:

Q: Find the characteristics equation of the matrix [1 2 A -2 -1 01 and hence find A-.

A:

Q: Let I be the rdentity of nxn. Please Compute 3. matrix the matrix funct ions CosT I (i²=-1)

A:

Q: Find the transformation matrix for the following figure: B'(-5,3) A(-5,0) C(-3,0) B(-5,-3) A(-3,-3)

A: Given the triangle A(−3,−3),B(−5,−3),C(−3,−6).We need to find the transformation matrix so that we…

Q: Given the matrix      A=       [4 -1   0   2] , then the trace of A^3 is?

A:

Q: Let A be a 6-by-6 matrix whose determinant is -3. Use properties of determinants to evaluate the…

A:

Q: Let b₁=(1). -(-9), --(-4), C1 = = (-3). {c₁, c2} be bases for R². Find the change of coordinates…

A:

Q: For the​ matrixA=daig(-2,-1,2), put the following values in increasing​ order: det(A),​ rank(A),…

A: Given the matrix A=daig(-2,-1,2) is diagonal matrix Therefore the eigen values of A are -2, -1, 2.

Q: Q/If you have the triple matrix below The inverse of matrix (A): 0.885 0.473 0.781 (A) = 2.047 0.973…

A: Sol:- 0.8850.4730.7812.0470.4780.1570.9730.8950.715-1Augment with a 3x3 identity…

Q: why no matrix exists for one-to-one linear transformation from R^4 to R^3

A: Given: We have to prove no matrix exists for one-to-one linear transformation from R4 to R3.

Q: Write f= x + 10x1x2 + x3 as a difference of squares, and f= x? + 10x,x2 + 30x as a sum of squares.…

A: Given f=x12+10x1x2+x22.  Let the associated matrix of f be A=abba is 2×2 symmetric matrix. Then,…

Q: 5) Find dx/dt of Matrix: X 5e-1 2e-¹ -7e-t

A: We know , d/dx(e-t) = -e-t   Given X = 5e-t2e-t-7e-t

Q: For each of the following, factor the matrix A into a product QDQ' where Q is orthogonal and D is…

A: A is symmetric matrix ,then A is orthogonally diagonalizable, and Q is the orthogonal matrix, the…

Q: Let z be a real number and let A be the matrix 2 I A - (-34). -2 i. Find all values of r such that A…

A:

Q: Determine whether the span of the column vectors of the given matrix A is equal to R^3. Show your…

A:

Q: Given F(x) = 4₁ 21 -2x1 3 4x2 3 2x1²x24 2x15x2 calculate the matrix Jp ([^])

A: