Let a, b, c € R. Given that the matrix a = type your answer... 1 + ai -2 -i b= -2 bi -2i+4 type your answer... i 4 + 2i -1+ci) −1+ci is Hermitian, the values of a, b and care C= type your answer...

Q: Find the matrix of the quadratic form. Assume x is in R?. a. 3x - 8x,x2 + 2x3 b. 5x, + 18x,x2

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Q: Determine whether the matrix -1 -1 -4 A -8 -3 -16 1 7 is diagonalizable. If A is diagonalizable,…

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Q: Given the following bases for P2, find P,the change of coordinates matrix from B to C. C+B B = {-2x²…

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Q: 3. Let 1 B -1 Consider T : R²,2 → R²2 defined by T(A) = AB – BA. Let - 이 [0 [o o] [o o] [1 0] Bị and…

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Q: Evaluate L{t cos 4t} s2 +4 b) 52 – 4 s2 + 16 c) s2- 16 s2 - 16 d) s2-4 a) s2 +4 s2 +16 O a O b

A: None of the options are correct

Q: Q2: Let A, B be matrices of size 3x3 such that and AB = A+2I A = -101 21 2 find A, B?

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Q: Let A be a 4 x 5 matrix. If a₁, a2, and a4 are linearly × independent and a3 = a₁ + 3a2, a5 U = = -…

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Q: Let A be a real 2 x 2 matrix satisfying A? - 4A = 0, where O is the zero matrix. SKIP Find the…

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Q: Find out the pivots of the following matrix and comment whether it is singular or not. 2 0 0 1 10 0…

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Q: Let A and B be invertible 5-square matrices such that A| = 4 and B = 2. Then |2A. B 2 %3D

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Q: Let A = {ª₁,2,ª3} and B = a₁ =3b₁ b₂, a₂ = − b₁ + 5b₂ + b3, a3 = b₂ − 2b3. a. Find the…

A: a. Find the change-of-coordinates matrix from A to B.b. Find [x]b for x = 2a₁ +3a2+ a3.

Q: Let A be an n xn matrix andB=A+1, where / is the identity matrix, then it is possible for A and B to…

A: False

Q: Let (A-2)-1- where / is the identity matrix,then A= Select one: a. 0 3 7 3 2 2 3 3 REDMI NOTE 8 PRO…

A: Explanation of the answer is as follows

Q: 1 Find the linear combination 2$1 +382 + 4s3 b. Then write b as a matrix-vector multiplication Sx.…

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Q: 1 1 1 0100 0120 00 0 Let A = Write A as C DC , where D is a diagonal matrix. Hint: You can always…

A: Given : matrix A=1110010001200000 We have to write A as CDC-1, where D is a diagonal matrix.

Q: .

A: A=02-123-2-1-20 To find: An orthogonal matrix U that diagonalizes .

Q: ............. 05 Let A = diagonalizable matrix( A = XDX-1), then X and D are: Select one: а. -5 0 1…

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Q: Show that the equation of the line through points (a1, b1) and (a2, b2)can be expressed as the…

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Q: [a b] [add] c A² − (a + d)A + (ad – bc)I = 0 Show that the matrix A = satisfies the equation

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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: Compute L and U for the matrix A. Find four condition on a, b, c, d, r, s, t to get A = LU with four…

A: Let us find the L and U for the matrix A using Gauss Elimination method in the next steps.

Q: G4 : Find dịagonal matrix A that sotisfies a 16 o

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Q: = 1 -2 2 00 0 -1 0 0 -1

A: Given that A=

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: Let B = and C = {c1,c2} be bases for R?. Find the change-of-coordinates matrix from B to C and the…

A: The bases B and C for ℝ2 is given as follows: B=b1, b2=-12, 1-1C=c1, c2=12, 11 We are asked to find…

Q: A. Construct a 2 × 2 matrix that is invertible but not diagonalizable. Also provide the inverse of…

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Q: Given a matrix A = for what conditions on a, b, c, and d will the matrix not have an inverse?

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Q: | Evaluate Σijk Elmn €ijk¤lmn MilMjmMkn, where M is an arbitrary matrix.

A: We can easily solved the following problem

Q: 2. Find a real 2 × 2 matrix A (other than A =I) such that Aº = I . %3D

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Q: Find the matrix representations for R² and R-1.

A: First we define relation matrix for R:

Q: Determine the rank of matrix A, where: A = 1 0 -1 39 0 0

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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: 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.…