If A is n x n matrix and A² = aA and the eigenvalues of A are ±4j then the value of a is a. 2 b.-2 c. -16 d. 16

Q: find an elementary matrix E that satisfies the given equation EC = D

A:

Q: Find an invertible matrix P and a matrix C of the form - b [:] b a such that A = 0.2-1.3 0.8 1.8 has…

A: Given,           A=0.2-1.30.8-1.8.

Q: find an elementary matrix E that satisfies the given equation EA = B

A:

Q: Let "A" be a 2 by 2 matrix. Given that Det (A) = 3. Find the Det (5A) = O 15 8 It cannot be found…

A:

Q: In each part, find the matrix X solving the given equation. [x-[] Thenx= a.

A: AS PER OUR COMPANY GUIDELINES , I HAVE ONLY SOLVED THE 1ST ONE , ASK OTHE QUESTIONS…

Q: Graph these parametric equations on the TI and include screenshots x = 2t – 2 sin t, y = 2 – 2 cos t…

A: In the Cartesian coordinate system, the parametric equations use a third variable(usually "t") to…

Q: 2. А %3D [0.7 0.1 Lo.1 0.7

A:

Q: a. Determine the solutions of the simultaneous equations given below y = x² + x + 1 y = 6x + 7 b.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: .

A:

Q: Find the roots or values of x to this matrix equation.

A:

Q: 1 4 Let A= and let B be an unknown 2×2 matrix. Calculate det B given that 1 2 det(AB)= 32.

A:

Q: a. a⋅ If R = 11 and C= 1-5 -3 | find the inverse of C and -31 4 hence solue the matrix equation R.CS

A:

Q: A B Which of the following is the solution for 關 EXO- = 台 = -5/2 3/2] 2-5/2 of the matrix equation…

A:

Q: Solve the matrix equation AX = B for X. 17 75 A = *8 X= B= 9 25 -

A:

Q: Suppose that A&B are n x n matrices and A² B = I, then O a. A-1 = BA %3D O b. A-1 = AB %3D OCA-1 = A…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Determine the cofactor attached to the element a12 of the following 3 x 3 matrix: /2 -1 0 1 - 2 3 0…

A:

Q: Use as many columns of A as possible to construct a matrix B with the property that the equation Bx…

A:

Q: Solve the following matrix equation for X. [1 - 1 1 5 -1 8 10 11 7 -6 1 2 -1 8 - 10 5 i i i i i i i…

A:

Q: Let A be an n x n real matrix with detA = 0. Which of the following statements is false? Select one:…

A: Use concept of matrix and system of equations to solve this problem.

Q: 1 1 -2 -4 A . 1 -4 and -4 4 A 1 A = ||

A: We have to solve given problem:

Q: Solve the matrix equation for x -2 1 4 3 2 -1 -1 X = | 6 7 8 9. %3D 1 1 -4 1 3 7 9.

A:

Q: conjecture as to what A-1 is in general. 1 and B = 1 , find an elementary matrix E such that B = EA.…

A:

Q: 5 Invert the matrix A 8/1+10/2+713 = 0 511 + 912+4/3 = -9 = 1. 91+11/2+8/3 8 10 7 594 9 11 8 and…

A: Please see the below picture for detailed solution.

Q: If A is the matrix -3 4 3 A 3D 4 3. 1 12 and if 1 u = and V = 3.

A:

Q: Suppose A-A, where A is the matrix. The det (A) is

A: Determinant of a null matrix is equal to zero.

Q: 19. For the matrix A = 4) 6 -6 -4 find a general formula for A".

A: The matrixThe characteristic equation|A−λI|=0λ2−(6−4)λ+(−24+24)=0λ2−2λ=0λ(λ−2)=0The Eigenvaluesλ=0,2

Q: If (X, d_{1}) and (Y, d_{2}) are metric spaces, we define d: (X × Y ) × (X × Y ) \rightarrow R by…

A: Let X be a nonempty set with a mapping d:X×X→R is said to be a metric space if mapping d…

Q: Let A = B = lo ĭ [1 2 [1 0 and V = |1|. What is the sum of the entries of the C = 14 matrix V" (A" –…

A:

Q: A = 32 23 -1 1 E₁ = Suppose that: E₂ = and B = Given the following descriptions, determine the…

A: Given:Matrix .To find the elementary matrix  which multiplies the first row of  by .To find the…

Q: find an elementary matrix E that satisfies the given equation ED = C

A: Let the given matrices are, Give that ED=C

Q: A and B are N × N matrices. A has an eigenvalue α, and B has an eigenvalue β. Under what conditions…

A: The given question can be solved as shown in step2.

Q: Consider the following matrix. P =    0.1 0.1   0.9 0.9 (a) Calculate P2 = P · P.…

A: Since you have asked a question with multiple subparts here, we will solve the first three subparts…