-3 Consider the matrix A = 1 and %3D the vector u = . Let %3D B = (A – A' )² and define vector v = Bu. If v = write down the %3D value of v1 .

Q: 1. Calculate exp(A) where A is the 2×2 matrix given by A 7 -2 -[33] = 5 5

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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)".

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

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Q: Identify the matrix that represents each linear transformation below. Write A, B, C, D, D or F. ^ -…

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Q: let Amxn matrix , c scalar If cA=0, then Select one: a. c=0 and A=0 b. c=0 or A=0 C. C0 or A=0

A: WE have to check the meaning of cA=0.

Q: Let A = [–2 2]. If possible, find the entries of a matrix B that is NOT the identity, but still…

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Q: Find the matrix A of the quadratic form associated with the equation. 3x²2xy + 3y2 + 8z² - 27 = 0 A…

A: Given 3x2-2xy+3y2+8z2-27=0 The quadratic form of the equation ax2+by2+cz2+dxy+cxz+fyz and its…

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,…

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

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Q: Explain  column vector of m x 1 matrix?

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

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Q: Let A and B be two square matrices. Assume that both A and B are invertible. Show that BA is…

A: Note that--- If determinant of a matrix is non-zero then the matrix is said to be invertible and if…

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

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Q: Let y = 1 2 and u= 4 2 Write y as the sum of a vector in Span (u) and a vector orthogonal to u.…

A: Introduction: The projection of a vector onto another vector is the application of dot product. This…

Q: Let's create a matrix that reflects around a line that is perpendicular to the vector n = [0.375,…

A: A matrix that reflects around a line y=mx s given by, 1-m21+m22m1+m22m1+m2-1-m21+m2 Since, the line…

Q: Use elementary row operations to determine A-1 (you should be able to do (a) elementary row…

A: 1.a A=123-111201A=11-0-2-1-2+30-2     =1+6-6     =1determinant of A is not zero, therefore inverse…

Q: Set up the matrix which will perform the following transformation and write down its character. (x…

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Q: 1 A = -1 2 For the matrix find A° using diagonalization.

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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: Find the matrix for T(w) = proj, where = [4 8 -2].

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Q: 1 6. Given that A = -1 and B = Which of these matrices equal (AB)'? -2 0 (c) 0. (a) 0. (b) (d) -2 -2…

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Q: X₁ Describe the solution set, x = x₂ X3 fill in the answer boxes within your choice. (Type an…

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Q: Let A, B be two matrices with linearly independent columns. If Col(A) = Col(B) then A(AT A)-1 AT =…

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Q: X₁ Describe the solution set, x= x₂ of x₁ + 6x₂ - 2x3 = -7 in parametric vector form. Select the…

A: A set x=x1x2x3 of x1+6x2-2x3=-7. To Find: Describe the solution set x in parametric vector form.

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

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Q: in

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