A 3x5 matrix B= [b₁ b₂ b₂ by b₂] has RREF R= TO 301 01-204 A. Find a nontrival relation C₁ b₂ + C₂b₂ + C₂ b ₂ + C₂b₂ +6gb ₂ = 0 B. Given b b3- 3, b₂ - 3 by = [0] C. what is basis for Col(B)? find bs

Q: Let A 1 1 A = 1A -1 1 Then answer the following. (a) Determine a;ı · (a2 x a3), for i = 1, 2, 3. (b)…

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Q: B=" Let A = [_12] and B-[ 2 4 -2 35 determinants Compute @ without using Bb Solve Ax=b where b = [i]

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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: 9. 4 -6 -21 7 3. 8 -3 4 -7 8 8 0 13 17 31 7 9 4 23 4. -6 11 0 3 6 0

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Q: matrix P and a matrix C of the form -21 a -b b ces P and Care mma to separate answers as needed.) no…

A: Let    Given that Eigenvalues of A are 5+2I and 5-2i With corresponding eigenvectors are 2+2i-i And…

Q: For the matrix A= 1 5 -i 8 7 9i 5i 2 3 B= 2 5 -i 8 3 9i 5i 5 3 Find 1- Transpose A* conjugate B 2-…

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Q: [2a11 5a12 Let A = |2a21 5a2 -3a23 2a31 5a32 -3a33 diagonal matrix and neither B or D is equal to…

A: The given matrix isA=2a115a12-3a132a215a22-3a232a315a32-3a33.We have to factorise A into A=BD where…

Q: 1. Find A-¹ using elementary row operation to the augmented matrix. Let A = -2 10 0 0 4 2 -6 -12

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Q: Find the characteristic equations of the following matrices: 401] -210 -201

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Q: Let 2 -1 | -1 2 -1 -1 -1 -1 -1 –1 -1 2 -1 2 be the Eç Cartan matrix corresponding to the simple…

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Q: 13.) Determine the matrix: s P 6-8 3 ។ -3 the dimension X 10

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Q: Find the determinanat of the matrix A: 123 4 1 4 5 8 A= 11 2 3 13 5 8]

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Q: Let A = (a) and B = (A + B)(A + B) (b) A2 + 2AB + B² 3) Let A2 and B2 denote the matrix products AA…

A: A=5423B=8759

Q: [1 0 -3 Let A = 1 a 1 (a) Find the cofactors C11, C12, C13, C21, C22, C23, C31, C32, C33 of A and…

A: Note the results: where denote the minor of . If then matrix is invertible .

Q: Matrix A is order 7 ⨯ 6 and matrix B is order 2 ⨯ 7. Find the order of AB and BA, if they exist. (If…

A: To multiply two matrices the number of columns of the first matrix must be equal to the number of…

Q: 7) Find the determinant of the following matrices: -51 6. 1 5 b) 8 2 8. -31 -3 7

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Q: Find the change-of-coordinates matrix from B to the standard basis in R². B= 6 -3 9

A: The given basis B=6-3, 19. To find the change of coordinates matrix from B to the standard basis.

Q: (:) -5) and B=( 6 -3 3 2 1) If A = ( 3 4 Find:- a) A? b) determinant A c) adjoint A d) B-'

A: As per our company policy, we are supposed to answer only first question. For the rest please repost…

Q: -3 4 B = -1 | %3D 4 | 0 4 3. C = -2 5 1 D = 4 -2 0 1 Using the above matrices find DB

A: Given matrices are

Q: (6 :) b12 such that A and B commute, that is, A.B = B·A. (b21 (b11 10. For the matrix A = find a…

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Q: Alsan tet A = and B = 15 [4 101 l7 15J 3 (a) [ Let c 3. Find cA. (b) ts] Find A + B (c) Find the |A|…

A: use property of matrix.

Q: 3. Let vi = [1, -2,3], v2 = [-1,–4,5], and v3 = [5,-1,3] be vectors in R³. a) Use determinant to…

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Q: 3.) Find the inverse matrix? 2 Use the adjugate of A = 0 -2 1 to find A-1 | 1 0 0 - 2 3.

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Q: please help me with 2.3 and 2.4

A: 3.3 Given the following data: x 10 12 13 17 19 20 y 11.0 7.6 6.2 -0.1 -3.2 -5.0

Q: Find a, b and c using Cramer's Rule 1. 2b + 7c = 20 4a-6c+2b = 2 8a - 6b = 20

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

Q: Consider the matrix B given by where 2 3 23-3 3 -4 2 -1 0 0 det (A₁) + 4 - 3 5 -5 -4 . Then det (B)…

A: We find the determinant of a matrix by expanding with respect to any row or column. By taking sum of…

Q: Consider the bases B1 = {(1,2), (- 3,0)} and B2 = {(3,2), (- 1, –2)} of R. The input to "(2.1)' of…

A: Consider the given vectors. B1=1,2,-3,0B2=3,2,-1,-2 Express the vectors in linear combination.…

Q: Let M = -3 2 -3-2 M³ + c₁M² + c₂M + c3I3 = 0, where I3 is the identity 3 x 3 matrix. C1 || S || C3…

A: Here the matrix is given by M=-11-3-3232-32 Here the equation is given by M3+c1M2+c2M+c3…