[2 Given the matrix

Q: For matrix A, B if A – B = O, where O is a null matrix then * A = B B = 0 A = 0

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Q: (iv). Find det(A¯1) of the following matrix: 1 3 -1 2 1

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Q: 1 2 3 2 2 3 5 1 134 5 (b) Find the rank of the matrix A =

A: 1. We know rank of any matrix and rank of its reduced row echelon matrix are same. 2. Rank of a…

Q: Find the matrix D such that ADB = C and hence evaluate f(D-1) given that 4 -2 3 1 6. -6 6:2), c = (6…

A: d2+4d4=6⇒2d4+4d4=6   (d2=2d4)=6d4=6⇒d4=1⇒d2=22d2+8d3=8*2…

Q: - True or False: Let A be a 4 x 4 matrix. If detA = 5, then det(-2A)=10 X - True or False: R^2 is a…

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Q: x+2] is an invertible matrix, t 4 LA 2х-3 х+1

A: If A is an invertible matrix than determinant of A is not equal to zero.

Q: Apply the Gauss-Jordan method to invert the matrix given below. 1 0 0 01 1 1 2 1 1 Write down each…

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Q: 1 2 2 . For what value of a will the matrix A=| 2 а 1 2 а be singular? Explain.

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Q: -x-1 -x 2 Let A = 1 2 (i) Determine an expression for det(A). (ii) For what values of x will the…

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Q: 123 A = 3 4 5 Given matrix A above, what is At?

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Q: (2) Consider the matrix -[: ] A = Find the unique x, y E R, such that A? = xA – yI (where I…

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Q: Let the matrix below be Anti-symmetric. What is x + y+z =? 0 0 1 1 A = 2 y -1 -2 1 N N

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Q: Invert the following matrix 3x – 2y = 9 -x + 3y = 3

A: Solution: Consider the given system of equations: 3x - 2y = 9-x + 3y = 3 The coefficient matrix of…

Q: 1. АT 2. В — 2A

A: To find 1.A^T 2.B-2A

Q: 4 Given matrix A = 1, find x such that the matrix is singular. a. 0 с. 3 b. 2 d. 6

A: A matrix is said to be singular, if it's determinant is zero.

Q: 2 1 4 6 Find a matrix X that satisfies A(X+I,)=B, where A = and B = 6 5 3 5

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Q: Which is the matrix inverse to the matrix 2 3 1 3 2 1 1 0 1

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Q: for the following matrix A and let 5 be th- 1 1 2 -4 A = 0 -1 8 1 3 1.

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Q: Diaganolize the following matrix. 1 0 6 -1 0 O 0 0] P D = P-1

A: Calculating eigen values and eigen vectors For eigen values 4-λ-106-1-λ000-λ =0 -λ(λ-2)(λ-1)=0 λ1=2…

Q: [1 2 1] A = 2 0 2 l2 3 kl give matrix. [A| = 1 , k=?

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Q: (b) For the given matrix. 1 0. 1 4 0. 1 0. 6. 1 Find the new value of the matrix after applying a…

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Q: (2 -1 5). and that h(T) = T2 – 2T – 7, find h(T). (4) Given matrix A =

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Q: for a matrix A 3 6 2 5 if f(x)=(x+2)(x-2), calculate f(A)

A: Given: Matrix A=3625 To Find: f(A) when f(x)=(x+2)(x-2)

Q: -(b) -1 A = B = 0 1 01

A: Result : Matrix multiplication is only possible for those matrices in which column of the first…

Q: Apply the Gauss-Jordan method to invert the matrix given below. [1 0 0 01 1 1 0 0 1 1 0 L1 3 3 1 P =…

A: P=1000110012101331 is the given matrix to apply the Gauss-Jordan method on it that is RREF(Reduced…

Q: -2 1 To show that the matrix A = -1 1 satisfies its char- 1 -3 2

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Q: Q.1 Consider the following matrix (-1 3 0Y A = 2 0 2 2 1 4 1 B- 2 -1 5 -3 0 1 10 C-2 A. Show that a.…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: 4 Given matrix A = : 1, find x such that -2 the matrix is singular. а. О с. 3 b. 2 d. 6

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Q: [4 [2 1 B = Given the following matrices: A %3D %3D l6

A: Given matrix is A=412−3 and B=206−2. We have to find the transpose of the matrix A and B.…

Q: Find the SUM for mean of the matrix F * ? F= 1 1 1 2 2 2 2 3 3 3 3 1,

A: In order to follow sum for mean of the matrix.  First find the mean for the matrix then take sum for…

Q: Let the matrix below be invertible. What should be the value of k [1 2 0] 0 2 1 k # k#1 Leave blank…

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Q: With x and y as in your answer to question 3, the matrix

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Q: 3. PD. For these values, determine the Cholesky factorization of the matrix A.

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Q: •(b) A = B:

A: Given,        A=-1201,   B=1-201

Q: b7 c d x A = j g _e f] a If then size of matrix A: %3D

A: Here we find size of Matrix A ?

Q: Find the inverse of the elementary matrix.

A: Given the matrix: Where k is not equal to 0.

Q: Which of the following is the elementary matrix corresponding to the operation -2R2+R3 ? O[10 0 0 1…

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Q: Q1- for the matrix below: [2 3 7 X = |4 8 9 l6 5 1. [2 2 21 1-Extract the matrix a=|4 4 4 l6 6 6] [2…

A: Given that,x=237489651a=222444666b=237489

Q: Find e^t where A is the matrix A - -4 1 -1 -2 eAt +

A: Given that A=−41−1−2

Q: (V). (16') Find the QR factorization of the matrix A=(x1,x2,x3), where 4 2 1 2 1 Xị = ,X2 = ,X3 = 2…

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Q: Use the following matrix. [1 0 4* E = 5 1 0 What is the order of matrix E?

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Q: Q4 Find the inverse of the given matrix using Gauss-Jordan elimination: 1 0 -1 2 1 -2 3 -5

A: The given matrix is 10-121-230-5We will solve it using gauss jordan elimination method

Q: 3 2 21 3. Transform the given matrix to RREF -2 1 1 -1 0]

A: Given :322-2011-10

Q: For a 2 x 2 matrix A a |A| = d|

A: For the given 2 by 2 matrix A, a is multiplied by d and b is multiplied by c .

Q: (c) Find P-1 and A' (the matrix for T relative to B'). 1 1 p-1 = 1 1 1 1

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Q: for the matrix        7   2   5 A=3   1  4      1    2  1 what is the element in the third row and…

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Q: 8. Q1. a) If A = 4 and B = then find the matrix X such that 2A +3X = 5B

A: We have to find the matrix X such that 2A+3X=5B where matrices are given as: A=804-236 and…

Q: 3. Verify that the following statement is true for these matrices: (XY)-1 = Y-!X-!. A suggestion:…

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Q: 1 4 9 7 For the matrix A where A 2 5 12 11 3 6 15 15 Determine the nullspace of A

A: First we have to reduce into row echelon form of the given matrix.