Let F be a field. Compute the determinant of the following matrix in Fax: z 111 1r00 10x0 1000 1 0 0 0 ... ... 11 00 00 20 0 x

Q: Let A 1 1 A = 1A -1 1 Then answer the following. (a) Determine a;ı · (a2 x a3), for i = 1, 2, 3. (b)…

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Q: 21. Calculate the determinant of the matrix A= 22. Calculate the determinant of the matrix B= 1-2 4…

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Q: Use the cofactor expansion to compute the following determinant: 5 6 5 det -3 9 7 %3D 6 9-8

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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: Please evaluate the determinant using Chio's method.

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Q: * For the matrix shown, Find the determinate 21 1 A = -5 6. 13 352

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Q: Let a be a real number. We denote by An the following determinant: n- 1 a. ... | An = CL 1 1 a ...…

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Q: /2 003 1Y 0-10 00 II-I0 (2 2 210,

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Q: E = F = [2 13 101 1 0210 0 1 2 3 1 -2 0 0 315 3 -7 0 -4 2 010 021 1 001

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Q: Bestem tallet b > 0, så den uendelige række Σ n=1 ikke er absolut konvergent. (−1)n 2(b +30)n² —…

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Q: 1 Зі -5 A = | ₁/ i

A: Given matrix is A = 13ii-5

Q: Compute the following determinants

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Q: Find the determinant and inverse of the matrix A 1000000000 20 000000 0 2 3000000 () 2 3 4 00000 0…

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Q: 1. Compute the determinant: 1 1 2 1 2-² 2 2 2 3 3 3 3 5 1 9-x²

A: Here we find the determinant using some properties.  The properties are- 1) if we subtract a…

Q: a) Write down the first term in the expansion of (x - 4)5 [Hint: Care is needed with the negative 4]…

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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: 1212 2121 3223 니 니

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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: Alsan tet A = and B = 15 [4 101 l7 15J 3 (a) [ Let c 3. Find cA. (b) ts] Find A + B (c) Find the |A|…

A: use property of matrix.

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 the determinant of A = 83100

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Q: Use the properties of determinants, to determine which of the following equalities is true ¥4 2 -2…

A: To determine which of the following equalities are true By Using properties of determinants, 1 )…

Q: e) Show that the determinant of the nxn matrix 320 132 DOO 00 . . 000 0 0 0 15 equals to 2+₁ n+1 132…

A: Given Matrix: 320..000132..000........................000..132000..013 and of order n×n.   To prove:…

Q: Calculate the determinant of 2x² + 3X + 5 O 23931 O 13249 O 12394 O 23419

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Q: Calculate the determinant of the n × n matrix

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Q: H = (123 11 1 2 4 6 ) ; J = (2 4 2 1 6 1 29 2) ; K = (1 2 3 0 1 1 2 5 0 ) %3D

A: The objective is to find the determinant for H=1 2 3 1 1 1 2 4 6, J=2 4 2 1 6 1 2 9 2 and K=1 2 3 0…

Q: |1 3 1 1 1 1 3 1 Find the determinant 1 1 1 3 3 1 1 1

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Q: -5 1 0 1 -6 1 0 1 0 -5 1 -6 0 5 2 0 A = 3 -1 0 6 -2 0 2 5

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Q: Consider the matrices 1 23 -2 4 3 7 9 8 A = : B= 0 1 4 %3D 560 Compute AB' and determinant of A

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Q: t1 = 1 t2 = 2 t3 = 3 t4 = 4 C1 = 11 C2 = 29 C3 = 65 C4 = 125 1 1 1 1 11 1 2 4 8 29 65 1 3 9 27 1 4…

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Q: Compute the indicated 3 x 3 determinant. ab 0 0 a b a 0 b

A: The given problem is to find the determinant of the given 3*3 matrix.