Show that matsix is not 15 diagonalizable A- 2 -3 2.

Q: Use Gaussian elimination to find the inverse of the mat -(;;) 1 %3D -7 -1

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Q: Show that if B is an n × n matrix with entries in C and  B3=B then B is diagonalisable. Where C is…

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Q: Explain the dimension of the row space.

A: The dimension of the row space is called the rank of the matrix. This is the same as the maximum…

Q: Find two examples to demonstrate that if (a-d)2+4bc =0 then A may or may be diagonalizable

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Q: If U is the reduced row echelon form of A, then A and U have the same row spaces. Select one: O True

A: True

Q: 6. What 3 x 3 matrix exchanges rows 1 and 2, but leaves row three alone?

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Q: AB is a 1 bisector of CD.

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Q: Let a = (- 6, 3) and b = (1, – 4). Compute the dot product.

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Q: do the column space and the row space always have the same dimension

A: Let's say matrix A is m x n. A has n columns, each of which are m-dimensional vectors. Let's say the…

Q: If z show that x 3z %3D %3D

A: According to question, Given equation, z = x2y2x + y,

Q: x – 2y = 2 2x – 4y – z = 4 3x – 6y = 6 %3D

A: First write augmented matrix and apply row operation to change in echelon form

Q: Find the matrixx such that 2A + B + X =0 where 1 2 3 -2 A = %3D 3 4 1 5 Select one: a. -1 -2 -7 13

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Q: Let A ∈ M (3,R) be invertible and C, D ∈ M (3,2,R) . Solving B from the equality A(B+Ct)t = D, what…

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Q: What is the closure property of addition? (applied to matrices)

A: Closer property of addition  A+Bis a matrix of the same dimension as A and B Notice that the sum of…

Q: If U is the reduced row echelon form of A, then A and U have the same row spaces, Select one: True…

A: The solution is given below

Q: a) Factor the matrix A into the product XDX- where D is diagonal. (-1 -2 2 A = 4 3 -4 -2 b) Verify…

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Q: Find the null space for A. 1 8 A = -6 1 8 6 null(A) span

A: The given matrix is: A=  18-61   8 6

Q: propriate row elementary operation to so 2 4 1 3 2 1 R2 R3 -> R2 > R2

A: We have to choose the correct option according to the given information

Q: linear algebra question.

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Q: Find a formula for the quadratic form that does not use matrices. 2 -5 [ * y ] -5 7 -5 [ x y -5 7

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Q: Express Ac as a linear combination of the columns of A.

A: Given A=2-34-1235-1-2   C=214

Q: Let floo) = 0e 5 and gloo) = 2a19 Detemine Cgof) (x) 2079. %3D %3D

A: Topic:- function

Q: Fimd The Maclavrin Seaies of the foncation f1z) = Z-7 %3D z-22-3

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Q: Show that the elementary row operations

A: To prove that the elementary  row operations               Ei+λEj⇒Ei           and           Ei⇔Ej

Q: (c) 0 is neither diagonalizable nor

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Q: if (A|b) is in reduced row echelon form, prove that A is also in reduced row echelon form.

A: (A|b) is the augmented matrix formed by placing elements of matrix B to the right of elements of…

Q: show that for this system fo be consistend, (ongtond a,b, oud c, must satisty atb= C wust. sotisty…

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Q: 14) 14 12

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Q: Determine whether or not A = 25 is diagonalizable. Justify your answer. 1

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Q: The equation Ax O is equivalent to saying that x is orthogonal to all of the columns of A. %3D True…

A: Here we have given Ax= 0 Ax=0 is equivalent to saying that x is Orthogonal to all row vectors of…

Q: Find the norm of the image of U(7, 8) by an reflection about y-axis Answer:

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Q: Use Cramer's rule to compute the solutions of the following system:

A: We have to find the solutions of given system of equations.

Q: If A is invertable then A is diagonalizable. Select one: True O False

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Q: Prove that if A is row equivalent to B and B isrow equivalent to C, then A is row equivalentto C.

A: Consider A is row equivalent to B and B is row equivalent to C Then conditions of elementary…

Q: The entries of A are aij. Assuming that zeros don't appear. what is (a) the first pivot? (b) the…

A: A =aij  where aij≠0we reduce A in row reduced echelon form first pivot  element is a11 bacause every…

Q: Show that if M, - M. - (C ). (6 ). Ms - (: :). M2 = %3D %3D then the span of {M1, M2, M3} is the set…

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Q: In general, what is the elementary row operation that "undoes" each of the three elementary row…

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Q: Suppose A=QR, where Q is m×n and R is n× n. Show that if the columns of A are linearly independent,…

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Q: Let A = [1 -1 -1              -1   1 -1              -1  -1  1]. Find a diagonalization if possible.

A: We first find the eigenvalues and eigenvectors of A.Start from forming a new matrix by subtracting λ…

Q: If a = i + j + 5k and b = i + j + 3k, compute the cross product aXb

A: We have to find cross product

Q: Suppose a, = (1 -1 1 1) 5. a, = (1 0 1 0) %3D %3D az = (1 1 1 1)'a¸ = (3 2 3 0)" - Please find out…

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Q: For each of the choices of A and b that follow, determine whether the system Ax = b is consistent by…

A: To find whether the system Ax=b is consistent or not A=   2   1-2-1,    b=31

Q: While trying to invert A, [A I] is carried to [P Q] by row operations. Show that P=QA.

A: [A I] is carried to [P Q] by row operations. So, A is carried to P and I is carried to Q. Since A is…

Q: LET X,XXball SHOU THAT R=212ELXI is a pivot EXi iS a pivot

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Q: If A Is diagonalizable then Is diagonallzat Select one: O True O False

A: We will solve the following

Q: ve bases for row(A), col(A), and null(A): -- 1 1 A = 0 1 -1 0 1 -1 -1 w(A):

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Q: d. Is A diagonalizable? Explain your answer.

A: Data given A 3*3 matrix is given Calculate Whether given matrix A Is diagonalizable Or not.  Eigen…

Q: Prove that: (A+B)•(B+C)x(C+A) =2A•BxC

A: Let A, B, C are 3 vectors. Then it can be written that: A×B+C=A×B+A×CA×A=0A·A×B=0B·A×B=0A·B×C=A×B·C