3. For the model y = XB + ε,, B = [Bo] B₁ B₂ LB3J Ho: 200-3B1 + B₂ = 5B₂-B0-2B3 Find matrix C to express Ho in the form we test B3 +2P1 = 0. Ho: CB = 0.

Q: 10.Solve the given (matrix) linear system: 1 21 [1 X' 13 %3D

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Q: 2 3 A=| 4 7 6 11 For the matrix-matrix 13 calculate the LU decomposition A=LU where 1 U13 U1 U12…

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Q: Q4. Find the singular value decomposition of the matrix A this to find the SVD of the matrix (ATA)-2…

A: Given matrix is Then,

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Q: T(x, y) = (-x, 4x + 8y, 9x − 3y, 6y – 5x). Find its associated matrix A. A = JUL

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Q: 1. Two matrix vectors a and b are given as a = -0--0 and b Find (alb).

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Q: ( ). For matrix A = if f(X) = (X+ 2)(X – 2), calculate f(A)? -16 33 17 (17 48' В. 16 33. A. -48 -48)…

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Q: Find the RREF of the matrix 2 3 12 -2 22 -2

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Q: Find the triangular factorization A = LU for the matrix A = 1  1  6      -1  2  9       1  -2  3…

A: Given       A=116-1291-23

Q: Set up the 4 x 3 matrix E with E¡i = 0; = Vdi (the ith singular value) and all other Eij = 0.

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Q: Let A be a 3 x 3 matrix such that det(A) = 2. Evaluate det(Aª) and det(2A).

A: Recall the following. If A is a n×n matrix and m be any positive scalardet k A=kndet Adet Am=det Am

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Q: Let A be 3x5 matrix. Then AX=b has always infinitly many solutions.

A: Since not a particular question asked ,as per guidelines solution to first question is given below

Q: -3 [73] 4 -2 Av= -3x + 3y or 4x - 2y✔ o 4(A3) = (| –12x+12yv ở, 16x−8y, ở Let A = Enter the…

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Q: If T ([*]) = x + 2y y - x Y and S = a+b+c 2ab-c 188 2 then the standard matrix for So Tis

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Q: Find a 2x2 matrix A such that A2 = 1

A: As per the instruction, we will be answering the first question. For (1), We need to find a matrix A…

Q: Note: m=0 + m -2 6. 1. Let 1=* = l and C = |14 — т аnd C — 3 18 + m -10 -21 Find the matrix X, if A?…

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Q: Let A =mnd B- then the matrix (2AB + A")" is equal to O None of these O equal to the above 2 17

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Q: 1 4 [-1 Form the Matrix Ak? 3.Let Matrix A = 2 3 and k be any scalar b = -4. -3]

A: We need to find Ak.

Q: 2. Verify Calay-Hamilton theorem for the following matrix: (2 1 -1 A = (3 1 1 0 2

A: Solution:Given        A=21-1310102To findA-λI=0

Q: 2) Find the rank of the matrix A = 2 3 -1 ー1 1- ー2 -4 3. 3 -2 3. By deducing imto Echelon form.

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Q: Let A be 3 x3 R given matrix by over 2. A = -1 Using the result of A find the value (s) of makes the…

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Q: 3 x 3. Find A² - 5A + 4I3, if A = -2 1 0 -1 43 0 85 where I3 is a unit matrix of order

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Q: If x=2:2:6, and y=[1, 3, 7]. Write the values of the matrix A=[x' y'] where ' is a matrix transpose.

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Q: Determine the 2 x 2 matrix that represents the reflection along the line y = -V3x. Use this matrix…

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Q: A = 60- -5 1 0 0 9 2 M33 = A33 = 32

A: