20.1 (3.03) Let a, b, c, d € R. Using elementary matrices (permutation, elimination, diagonal) to bring these matrices to triangular form, compute their determinants. A = To a 00 0060 000 с d000 a b a -] a C a a d a B = a b с -B] b 0 b c b a C =

Q: c.) (CD) (CD) -1 = d.) cofactor of B =

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Q: Use only column interganges od row interchanges to produce a triangular determinant and find the…

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Q: 21 -15 24 30 A = -10 24 -32 18 -40 22 32 -35

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Q: Confirm the following identity without evaluating the determinant directly a₁ b₁+ta₁ c₁ +rb₁+sa₁ a2…

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Q: Evaluate each determinant in Exercises 23-28. 3 0 23. 2 1 2 5 |4 24. 3 2 -3 0 0 -5 -1 4 -1 5 -4 2 0…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: 2 1 Let A = Show the details of two different methods [(1) using the adjoint and determinant, (2)…

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Q: Rearrange the following matrices according to 7 4 3 2 9. 3 15 5 2 5 3 9 5 4 6 5 II II III II

A: Rearrange the following matrices according to decreasing value (top to bottom) of their determinant.…

Q: Let A be a 4 × 4 matrix with det(A) = 2. Which of the matrices 2A, -2A and A² will have a…

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Q: Prove the identity without evaluating the determinant (Using properties). ai b1 + tai c1+ rb1 + sa1…

A: Note the following properties of determinant : Property 1 : If any two rows (or columns) of any…

Q: File Preview A = 000 400 0000 06 020000 100 000 00 3000 50 00005 (a) Using any method, calculate the…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Compute the determinants of the follow- ing matrices. 3 2

A: The solution is given as follows :

Q: 7) Find the determinant of the following matrices: -51 6. 1 5 b) 8 2 8. -31 -3 7

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Q: 1 Зі -5 A = | ₁/ i

A: Given matrix is A = 13ii-5

Q: Find the determinants of the following matrices and classify them as either singular or non…

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Q: (a) With what sign does the term aina2n-1... and appear in the determinant of the matrix with…

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Q: Calculate the determinant and inverse of the matrices by scaling

A: For matrix A Determinant of A = |A| = 0 As row1+ row2 = row5. Hence |A| = 0 So, inverse of A doesn't…

Q: Q4) For Matrix A = 2 1 2 5 -1 4 1 -1, Find the following: 1 1. The Determinant of A. 2. The Minor of…

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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: Let-[:] and v-[³] u= v= Compute the area of the parallelogram determined by u, v, u + v, and 0, and…

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Q: Evaluate the determinant of the ナhc given mantrix using 91 92 93 result b2 bz = 5. C3

A: Given that:      a1a2a3b1b2b3c1c2c3=5

Q: nsider the matrices A = B = 2 C = c- (1 ² 3) 64 69 (a) Calculate AB, BA, AC, BC and (A + B)C. (b)…

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Q: A as the product of two determinants, show that A = 0. Hence, show that if ax² + 2hxy + by² + 2gx +…

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Q: Find the determinants a f = 7. 2d + a 2e + b 2f +c i е во

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Q: 19 Find the determinants of U and U-¹ and U2. [1 4 6 U = 0 2 5 0 0 3 and b - [8 d U =

A: To find the determinants of U, U-1 and U2. (i) U=146025003 (ii) U=ab0d

Q: Compute for determinant of the obtained matrix 14 4 -9 4 -10 10 -9 10 -8

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Q: 2a₁b₁ Let A = ab₂ + a₂b₁ abz+azb a₁b₂+ a₂b₁ 2a₂b₂ azb₂ + a₂b3 a₁b3 + c3b₁ a2b3 + a3b₂. Expressing…

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Q: Let a2 аз A = | b1 b2 bz C1 C2 C3 Suppose that det(A) = 5. Find the determinant of the following…

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