Compute the transfer function of a LTI system represented by the input- output relation y[n] + [n- 2]+ {n- 4]- 2x[n] – x[n– 2] – 0.5x[n – 3] = 0

Q: 1) Show that the real matrix [[0 1 1], [1 0 3], [4 -3 8]] is invertible and determine the inverse…

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Q: Find the spectral decomposition of the matrix 可

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Q: Find the QR decomposition and prove -3 -5.

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Q: .

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Q: .

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Q: Find the characteristic polynomial of the matrices

A: we have to find  the characteristic polynomial of the matrices A=21-13

Q: Find the companion matrix of p(x) = x3 + 3x2 -4x + 12 and then find the characteristic polynomial of…

A: We find the companion matrix of p(x) = x3 + 3x2 -4x + 12 and then find the characteristic polynomial…

Q: use gauss-jordan elimination to solve the augmented matrix [1 -1 -1 2 | 1] [2 -2 -1 3 | 3] [-1 1…

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Q: If the percent decrease is 25%, what is the common ratio?

A: Common Ratio The common ratio is defined as the amount between each number in a geometric sequence.…

Q: Find a basis of the following linear system. { X1 2x1 x1 3x3 4x2 x2 + x3 + 2x2 + + 3x3 + 7x4 7x4…

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Q: Let A = [5 0 X = 5 Find an invertible matrix X and a diagonal matrix D such that X-¹AX = D. 001 D =…

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Q: Find the standard matrix of the linear transformation. -131-1; -Y x + 2y 7x - 5y

A: As the linear transformation is from R2 to R3, the standard basis is (0, 1) and (1, 0) So, here…

Q: 15. Show that T is a linear transformation from R4 to R4 by finding a matrix that implements the…

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Q: Find the characteristic polynomial of the matrix p(x) = de. = A 0 -2 -2 0 5 -3 -1 0

A: Given matrix is A = -5-2005-1-2-30

Q: Consider the third-order system 1 1 x = 1 x+-1 u -6 -11 -6 y=[4 6 8]ã+[1]u Using corresponding (P-,…

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Q: Find the characteristic polynomial of the matrix 4 5 0 A = 4 3 -4 4 0 p(x) =

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Q: Consider the function T : P2(R) → P2(R) given by T(a+ bx + cx²) = (a – b+ c) + bx + (-b+2c)x² Find…

A: Firstly we will find matrix associated with T.

Q: What is the transfer function of the following system in terms of a and B? 02+ (a +B)z-1 ol+ (a +…

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Q: Find the characteristic polynomial of the matrix -9 A = 1 p(z)

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Q: Do NOT row reduce! (a) Write the augmented matrix whose row reduction would find [x]B . (b) Write…

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Q: Ise the LU decomposition to solve 3 1 6. -6 0 -16 12 4. 08 -17 I3 17

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Q: Find a QR factorization of the matrix [1, 2, 4] [-1, -3, -3] [0, 1, 1] [-1, -1, -1] [1, 2, 4]

A: Given matrixA=[124−1−3−3011−1−1−1124]A=QR, where Q is 5×3 matrix with orthonormal Columns and R is…

Q: Determine the values of x of a given linear system shown below using cramer's rule. X1 - X2 - X3 +…

A: We will find out the required solution.

Q: Find a 2 x 2 matrix A with integer entries where the characteristic polynomial |A – AI| is X² + 7A +…

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Q: (6) Let T : R² → R³ be the linear transformation defined by - (E)-E [2(x1 – x2)] x2 – 3x1 x1 + x2 |…

A: That's easy. Have a great day!!!

Q: Assume that T is a linear transformation. Find the standard matrix of T. ← T: R² →R² first reflects…

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Q: Find the linear transformation T: P) + P1) such that T has eigenvalues -2 and 3 associated with the…

A: Please check further steps for solution.!

Q: Find the characteristic polynomial of the matrix p(x) = || 5 -2 0 419 A = 0 -4 0

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Q: Derive the inversion of homogeneous transformation matrices.

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.