Complete the matrix A so that it is skew-Hermitian. 0 i 8 3i X 0 Y Z x = i y = 8 +3 i 2 = -1 A = = 1 5i

Q: Let the set {v,, v2} be linearly dependent. Determine whether the set {v, + 4v,, 5v, - v2} is also…

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Q: Find the cofactor matrix C and multiply A times CT. Compare ACT with A-¹: [3 2 1 2 0 A = 2 -1 A 2 42…

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Q: aj bị c1 adjA if A = |a2 b2 c2| is a non-singular matrix prove that A: detA аз b3 C3

A: Matrix A is a non-singular matrix. This means; det A ≠ 0    A =a1b1c1a2b2c2a3b3c3adj A…

Q: B = -2 {[1] ·[5]} and = {[] [4])} C 3 are bases for R². Complete the augmented matrix used to find…

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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: Evaluate the following and show your solutions: 2 -21 2 -1. 1. (AB) (A + B) 2. A²+ B² 3. ABBA 4. det…

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Q: Find x and y such that the rank of matrix A is 2. 1 0 a – 1 0 у- 2 г+1 -5 A = 4 x = Ex: 5 Ex: 5 С y…

A: We are using rank nullity theoram  Rank(A) + nulity(A) = number of coloumn in A.

Q: Matrix obtained by changing the rows into columns or columns into rows is called O a. determinant O…

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Q: Find the singular values the matrix:

A: Given:A=1201-21Singular values:detATA-λI=0

Q: (a) G = { la, b, c, d e R satisfying ad – bc = 1}; matrix multiplication. = ( a %3D

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Q: 3i3 + 3i1 – 5iz = 7.5 i2 – 7i3 + 2i1 =- 17.5 - 10iz + 4iz + 5i3 = 16 - 1. Write the above system of…

A: As per our guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other parts in…

Q: Evaluate the following and show your solutions: -1 0 2 -27 2 -1 1. (AB)(A + B) 2. A²+ B2 3. AB - BA…

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Q: Find the determinant of the vector A = 2i+ 5j + 6k and B = 8k

A: determinant is nothing but finding the cross product. so, determinant of two vectors A and B = A×B

Q: 4. det (ATB + BT A)

A: Given: The matrices A=32-24-12-20-1 and B=1-2021-13-32. To find: The value of detATB+BTA

Q: Orthogonally diagonalize the matrix. A = PDPT, where P A = 2 0 0 0 1 -1 and D 0 −1 1

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Q: 6 -1 Evaluate ABT – 3C given that (2 -2 lo -1 2. -2 A = 6 -3 ‚B = and C = -12 7. 3. Use matrix…

A: To solve the given matrix problems.

Q: Evaluate the ff. Given: A 1 -1 1 -1 2 3 2 0 y 1 1 -2 4 3 4 1 1 1 -1 find: a. Transpose of matrix A…

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Q: Find the SVD of the matrix: 1 2 34 A = 0 0 0 0

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

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Q: Suppose V₁, V₂ € R³ are nonzero column vectors and V3 = 2v₁ - 32. What is the determinant of the…

A: Given: Suppose  are nonzero column vectors and  We have to find what is the determinant of the…

Q: Find the value of v, w, x, y, and z v - 2w + x + 2y – z = -52 6v + 3w – 2x + 4y – 3z = 57 | -v + 2w…

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Q: Evaluate the following and show your solutions: 1. (A-B)(A + B) 2. A²+ B² 2 -21 44340 A = 4 -1 2 -1]…

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Q: Find the determinant of the matrix. A = 3 11 15 5 9 17 7 13 191

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Q: 3 b Find the value of b that make the matrix A singular. 3 5 b =

A: Note : According To our guidelines we can solve only first question and rest can be reposted.Thank…

Q: 0 -2 2 -1 B = 1 4 -1 3 4

A: We have to solve given problems:

Q: Q3:-a) Find the values of (x, y) for the following matrix equation: 3 [х — 2у 0ј 6. -2 -2 x+ y]

A: Given that we need to find the values of x and y for which the following matrix equation satisfied.…

Q: Find the standard matrix of the linear transformation. -y x + 4y бх — 2у

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Q: 2x + 3y + 3z = 2 4x – 3y – 6z = 2 10x – 6y + 3z = 0 The determinant of the matrix is

A: We need to find the determinant of coefficient matrix. We will use Cramer'r rule to solve the…

Q: Evaluate the following and show your solutions: 1. (A-B)(A + B) 2. A²+ B² 3. AB - BA 4. det (ATB +…

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