5 (a) Let A be the matrix 12] Find the determinant of A3. 12 29 7. (b) The matrix A has LDU decomposition [5 01 0 -7 0 1 -9 2 U = 0 -4 1 0 3 1 L = D 1 1 %3D 2 2 1 Find the deterıninant of A.

Q: 6. O True/false. Give a one sentence justification. A singular 2 x 2 matrix can have determinant 1;…

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Q: Determine the diagonal elements of the reduced upper triangular form of the given matrix below. What…

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Q: 3. Show all work!) (a) Calculate the determinant of A by using ONLY the expansion across column 3,…

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Q: Linear algebra! Please solve both parts correctly and handwritten

A: Note : determinant of upper triangular Matrix is the product of its diagonal elements.

Q: 1 -1 -1 Let A 2 -2 -1 e M3x3 (R). 1 0 1 (a) Is A invertible? If so, find A-1 and express A-1 as a…

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Q: Determine and explain if it is true or false Let A=(a) such that a a non-singular matrix (det =…

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Q: -3 0 -1 0 -1 0 Find the eigenvalues and an orthonormal basis for each eigenspace. A₁ = -1 0 The…

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Q: A = 1 4 2 4 व B = [2 00 Tonm 0 4 -2 1 D = -2 0 0 0 1000 0120 0 1 1 1 1

A: Concept: Determinants: For a square matrix, a determinant can be defined in several ways. The first…

Q: 5. (a) Let 10-1 1 -1 -1 -1 1 P = 0 1 1 -1 2 -2 2 2 Evaluate the determinant of P. [4] (b) Suppose…

A: Step 1:Step 2: Step 3: Step 4:

Q: - 1 3 -1 3 det(A - AI) det 2 1. |1 - i -1 - A 3 2 0 1- a To find the determinant, expand along the…

A: Let's find.

Q: In Exercises 47–52, assume that A and B are n × n matrices with det A = 3 and det B = -2. Find the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 3. Let 1 0 1 A = 3 1 2 4 1 3 (a) Find the determinant of A. (b) Is A invertible? Why or why not?

A: Given, For matrix invertible, .Where  is determinant of matrix.

Q: How do i calculate the determinant of those matrices?

A: Dear Bartleby student,according to our guidelines we can answer only three subparts, or first…

Q: The determinant of the matrix is 7474 4 555 cc CT CT CT 56 5 6 7 5 6 7 8 9 5 6 7 888888 ∞ ∞ ∞8 89…

A: The determinant of the given matrix A is 0.Explanation:Step 1: The given matrix is:Step 2: All rows…

Q: Let T: R³ R² be defined by T → Let B3 = 6 ----A-D-A---M--N} and C 5 {" (6) - L U₂ -3x1 3x2 + x3 7 {…

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Q: II. Find the determinant of the following matrices by row reduction: [1 1 1 11 a 1 1 11 1 3 3 3 3 1…

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Q: -1 Find the determinant of matrix A det(A)

A: Solution

Q: 6. (a) Find the determinant of the inatrix B = 1 -2 0 0 3 1 1 2 4 -1 -1 1 -4 (b) Solve the system Bx…

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Q: Determine it A= 0 3 2 diagonalizable. is 3о9 If find X such that X-'AX=D is diag onal matrux. yes,…

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Q: linear algebra

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Q: Compute the determinant of the matrix

A: We have to find compute the determinant of the given matrix. Let, the matrix be A=212603-872

Q: 7 A = 0 2 -5 l-9 3 -8 39. Determine the determinant of the matrix A. a. 106 b. 530 c. 265 d. 670 40.…

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Q: 6. (a) Find the determinant of the matrix B = -2 0 1 1 -1 0 2 1 3 4 (b) Solve the system Bx = 0,…

A: Here for given 4 x 4 matrix we have to find the determinant of the matrix B. And find the solution…

Q: In Exercises 47-52, assume that A and B are n x n matrices with det A = 3 and det B = -2. Find the…

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Q: Consider the elementary matrix 1 0 -- a 2 1 Describe the action of this matrix from the left in…

A: Here →A=(1,2),→B=(0,1) The vectors A, B are linearly dependent if their determinant is zero. i.e.…

Q: Let A and B be 4x4 matrices such that det(A) = 5 and det(B) = 3. Compute the determinant of…

A: Explanation of the answer is as follows

Q: If X, Z are 3 x 3 matrices, det(X) = 3 and det(Z) = -15 what is '1 0 -3 the determinant of 0 1 0 xz.…

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Q: Can we use cofactor expansion in a 2 x 2 matrix? What is the determinant of a 1x 1 matrix?

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Q: please answer fully on paper and make sure its correct please i keep getting different answers

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