-2 2 Find the QR-factorization of the matrix A = 1

Q: 3. Find the value of a, where A = 43 L-2 0 a -3] 2 is singular matrix.

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Q: [2 2 21 1-Extract the matrix a=|4 4 4|

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Q: find the transpose of the matrix A C = 3 5 2

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Q: -3 Solve the equation for the matrix B: (5BT)-1 = [ %3D

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Q: Compute the indicated power of the Matrix A = -3 5

A: We have to find the matrix A=-46-359.

Q: -2 Find the QR-factorization of the matrix A = 1

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Q: -5 -8 0 12. Show that the matrix A = 3 5 0 is involutory. 2 -1

A: We can easily check  whether a matrix is involutory or not. For this, check the square of a matrix…

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

A: The given matrix is; 3 2 2 -2 0 1 1 -1 0. Repost the next question.

Q: -3 For the matrix A = -6 9 what is the value of |A|? %3D 2.

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Q: |Q1/ Find the transpose for A(3×4) matrix. Q2/ Add two (2×2) matrices and put result into new…

A: We have to find A' and A+B

Q: Q3. Find the rank of the following matrix A by reducing it into echelon form: 1 2 1 3 A = 5 3 5 7 7…

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Q: -1 3 Q1: Given A = B = 5. 3 find the matrix X if 2xT-AB3D -2 1 -3

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Q: Find ∣A−1∣ for the matrix

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Q: Find the matrix A of the quadratic form associated with the equation. x2 + y2 - 4 = 0 A =

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Q: Find the matrix A if 42 2 1 A : -1 3 %3D 1 3 A =

A: Given that, 21-13A=4213

Q: 2 Consider the matrix below. What is the value of 2a11 – 3a22+ a32 =? - 5 A = (aj) -1 3 -1 b) 4 d)…

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Q: -1 2 аnd AB 5 1. Find the matrix B. 3 Let A = 6 -9

A: This is a problem of matrix multiplication. Based on the general formula we will solve the question.

Q: Find A of the matrix 1- A = 2. -4 2. 1.

A: The inverse of the matrix A of order n is defined as a matrix B of order n such that AB=BA=I, where…

Q: 1. 0. what, is the value of |A|? For the matrix A = 2 13 %3D 63

A: We have to find the value of A for the matrix: A=1-24206373 We know the determinant of matrix, If…

Q: Find (I-A)-1 for the given matrix A. -24 A= 3 2

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Q: \8 9 (3 2 1 5. Find the co-factor A21 of the matrix 0 -1 \2 2 2 6. Find the co-factor matrix of -1…

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Q: Express the matrix as a product of elementary matrices 2 2 07 [1 A = |0 L3 1 1 3 8 7 ]

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Q: Q4(a) Find a family of the matrices that is similar to the matrix 2. 3.

A: The given matrix Q is : Q=p-24-3 Consider a non singular matrix : A=1234 The similar matrix for Q=…

Q: Find an LU factorization of the matrix A (with L unit lower triangular). -3 3 A = 3 - 3 6 15 18 L =…

A: Topic = Matrix

Q: calculate e^A. a= [-2    4]       [ 0    2] this is a 2x2 matrix

A: The term can be express as in terms of hyperbolic function

Q: -5 41 ka) Find rank of matrix A 1 -2 1 -4 5. .

A: We are given a matrix 2-541-211-45 For checking the rank, first let us calculate the determinant of…

Q: Find the QR-factorization of the matrix 2 1 A = 1. -1 -1 121 2

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Q: Find the trace of the matrix 3 A 2 -2 tr(A)

A: The given matrix is A=-332-2. Find the trace of the matrix A as follows.

Q: Q3. Diagonalise the matrix [A]. 4 33 [A] = 3 6 1 3 1 6

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Q: Tind the QR factorization of the given matrix. -1 1. 7 5 1 -1 1 1 -5

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Q: 3 Let A = 1 Solve the matrix equation -3 XA – X = 2AT +I for X.

A: X is a matrix below

Q: B) find the transpose of the matrix A C = 3 2

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Q: B: find A of the matrix 2 1 3 3 2 -1 -4 3 -1

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Q: -2 1 4 Determine if the columns of the matrix A = 4 0 - 4 are linearly independent. 8 5 2 ... Yes No

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Q: Find the matrix A given that -1 2 (I, +2A) 4

A: Let Matrix X=-1245 Here, given that ⇒(I2+2A)-1=X ⇒(I2+2A)-1-1=X-1⇒(I2+2A)=X-1…

Q: ܚ ܝ ܝܬ [12 Find A 1 of The Matrix_A - 32-1 [3 1

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Q: 1 3 Find a QR factorization of the matrix A = 1 4 0 2

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Q: Find the matrix A if 2 1 A = 4 2 %3D -1 3 1 3 B3: A =

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Q: Find the transpose of the matrix.

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Q: -3 Find the matrix A if (I +2A")¯' = | -2 1

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Q: Q6: Solve for matrix X in the matrix equation X- A" = 21, where I is a unit matrix with size 2 x 2…

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Q: 4 1 Find A4 for the matrix A -3 2

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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: Consider matrix [2 1 A = 3 2 l2 1 -1 1. [30] Find the input matrix for the output matrix 20 lio]

A: Given matrix  A=21332-1211

Q: Q6/ Find the detemination of matrix:- 2 1 5 1 B 1 1 2 2

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Q: Find a QR factorization of the matrix A. -4 10] A = | 2-30| 0 10] Select one: OA. OB. OC. O D.…

A: Let's solve Q and R factorization of matrix.

Q: -3 Solve the equation for the matrix B: (5B")-1 = %3D

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Q: -2 0 4 3 1 -1 -5 -1 1 b) Calculate the rank of the matrix P = 8 2 -12 3.

A: P=1-2043110-1-5-18382-12

Q: Find a QR factorization of the matrix 1 3 -1 -3 1 2 3 1 2 1 5 8.

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.