4. Compute the characteristic polynomial of matrix A using the determinant |A – XI|. 2 4 0 4 2 0 -2 1 A = -4 Use the characteristic polynomial and Cayley's theorem to compute A³ from A², A, and I3. Write out your steps, and show your work.

Q: a bc If det A =| d ef = k find the value of the given determinant. ghi T1.0: 2d 2e 2f a b g+ 2a h+…

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Q: 1. Use Gauss Elimination to solve the determinants for the following: 2x, + x2 - x3 = 1 5x1 + 2x2 +…

A: 1.  The given equations are, Converting given equations into matrix form

Q: I. Find the determinant of the matrix below using the following method: 1 2 3 |A| =| 4 5 6 7 8 9…

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Q: Question 4 of 20: Select the best answer for the question. 4. Evaluate the following determinant: O…

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Q: Find the determinant of the matrix A = [w v], where v and w are as shown below and the area of the…

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Q: Q4. Using row reduction evaluate the determinant |2 1 3 1| 1 0 1 0 2 1 0 lo 1 1 2 31 And also,…

A: Let ∆=2131101102100123 Applying R1↔R2 , we get  ∆=-1011213102100123 ( on changing any two rows or…

Q: The given T is a linear transformation from R² into R². Show that T is invertible and find a formula…

A: Here, the given T is a linear transformation from ℝ2 into ℝ2. It has to be determined T is…

Q: -1 -3 -1 1 -2 3 2 4 -3 1 -2 4 -3 -4 2 -4 1 3 -1 2 4 3

A: The solution is Given as

Q: 4. Simplify the determinants of the following matrices by creating zeros in a single row or column,…

A: This question is about evaluation of determinant.

Q: Find |A-11. Begin by finding A-1, and then evaluate its determinant. Verify your result by finding…

A: The answers are as…

Q: 2 0 -4 6| 4 1 0 2 6 -1 -3 8 9 1

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Q: A = 0305 6 3 -1 0 -3 4 0 3 -2 1 3 -2 1 1. Find M21 and M33; 2. Find C12 and C43; 3. Find the…

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Q: a a 3. Compute the determinant a a by using the row/column operations a a R, → R, + R, + R, C, →C,-G…

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Q: F = -1000 315 3 -2 -7 0 -4 2 010 1 021 1 001

A: F=13153-2-70-42001010021100011 LETS USE ROW OPERATIONS AND THEN COFACTOR METHOD TO FIND THE…

Q: Use determinants to find x, y, and z in t

A: GIven,                 x+y+2z-6=03x+2y+4z-9=02x+3y-6z-3=0

Q: II. Find the determinant of the follov [а 1 1 а 1 1 1 a [1 1 1] 1 1 A = 1 1 1 a

A: To find the determinant of the given matrix A by row reduced method :-

Q: Which of the following is the determinant of the 2 x 2 matrixA= (A) ad-be (B) be- ad (C) (D) ad-bc

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Q: a. Use cofactor expansion to compute the determinant of A. b. Use elementary row operations to…

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Q: -1 9. 1 8

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Q: Evaluate the determinant A by any method, |1 3 6 2 1 0 2 |0 A = |3 2 3 0 2 9 5 1 0 10 0 8 6 0 1 2

A: Consider , A = 1310206223302951010086012 We need to find determinant of A. For that we will use ,…

Q: Question 3 of 20: Select the best answer for the question. 3. Evaluate the following determinant: O…

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Q: II. Find the determinants or prove the equations in the following. Properties of determinants or…

A: We need to find , determinant of a2 + 2a2a + 112a + 1a + 21331 We will use cofactor method ,  For…

Q: (1 2 3 4) 4 1 2 3 3 4 1 2 3 4 1 and four to row one (and explain why this does not change the…

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Q: 1. Evaluate the required determinant using the following techniques and show your step-by-step…

A: Given: Use the following strategies to evaluate the required determinant and show your step-by-step…

Q: 3 3 A = 4 5 A. What is the determinant of A? B. What is the inverse of A? C. Use A-1 to find the…

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Q: You are given the matrix A = 1 -2 -2 -1 -1 1 a. Find an expression for the determinant of the matrix…

A: A= 1-20-26-10-11 (a) find expression for the determinant of the matrix A-λI. (b) Compute A. (c)…

Q: 2. Compute the determinant of the following matrix [1 0 0 31 0 2 1 0 0 1 2 0 3 0 0 1] A = 3. Compute…

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Q: x 2 s 2) = 1

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Q: Show that the determinant of the matrix B = xl – A, where I is an identity matrix and A = [1 2 01…

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Q: [1 2 -1] 1. If A = 3 2 4, verify that detA = detA". L1 3

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