4 Calculate the following determinants by elementary actions: 1 2 3 4 5 la+c b 1 c 2 3 4 5 6 1 b la+b c D2 b+с с 1 D =|3 4 5 6 7 4 5 6 7 8 And = a |а +b с 1 C 5 6 7 8 9 D2 should be expressed using a, b, c

Q: 10 Find the determinants of A, B, C: 0 3 7 1 7 1 6 0 0 0 0 1 0 4 0 3 8 1 0 0 0 0 0 3 0 0 0 0 0 2 0 0…

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Q: 4. The value of k that makes the following determinant equals zero is: |k 1 3 3k 5 14 1 31 a) 1 b) 2…

A: Solve determinant

Q: By eliminating the arbitrary constants of y = C,x² + C2x³ using determinants, then which of the…

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Q: Use the cofactor expansion to compute the following determinant: 1 0 -3 -4 -6 0 8 5 det -4 -1 4 3…

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Q: Compute the determinant of the matrix by cofactor expansion. [355 1 4 1 |3 2 3 Select one: O A.-50…

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Q: 1.3.6 Show that the multiplicative property of determinants gives the real four- square identity (af…

A: To show: The multiplicative property of determinants gives the real four square identity: -…

Q: Use the cofactor expansion to compute the following determinant: 7 7 8 det -1 -10 -10 = 0 8 -2 -10

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Q: 9. Let A = d. e f If det (A) = -7, compute the determinant of %3D dg B = d %3D O 1/7 O -42

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Q: .Solve the problems for the given matrices. 2 3 6 4 1 5 9 5 0 1 10 2 6 11 7 4 6 12 8 2 10 18 7 8 0…

A: Note: According to the company guidelines we can solve only one question. kindly post other…

Q: 5- Solve the following determinants :- -1 -21 [2 3 1] 2 a) 4 5 31 L1 2 b)-1 2 1 3 -3] [1 d) 0 2 -2…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Consider the following Gauss elimination: 1 0 0 0 1 0 0 7 -3 [1 0] 0 -9 0 E,E,E, A = 0 1 1 -9 O JA →…

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Q: 2 3 4 5 2 2 3 4 5 (c) 3 3 3 4 5 4 4 4 4 5 5555 5

A: c)1234522345333454444555555i)sinαcosαsin(α+θ)sinβcosβsin(β+θ)sinγcosγsin(γ+θ)

Q: Compute the determinant det 2 n n+1 n

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Q: a. Compute the determinant 4 0 0 2 3 4 1 1 1 3 4 3 1 1 1 [Marks = 8] b. Give an example of square…

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Q: 1.What is the definition of the cross product?2. How is the determinant of a 3 × 3 matrix used in…

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Q: Given that, for some a, b, c, d, e, f, g,h, i, k € R, b e f = 3, g9 h evaluate the following…

A: We are given that, for some a,b,c,d,e,d,f,g,i,j,k∈ℝ,                          abcdefghi=3 To…

Q: 5. Evaluate determinant D by: c. Chios Method 6 4 12 16 6 8 8 14 14 4 A = 4 6 16 12 2 2 10 18 10 14…

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Q: If X,Y, Z are 3 x 3 matrices, det(X) det(Z) = -15 then what is the determinant X²ytrz-!? 3, det(Y) =…

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Q: 1. Prove that the properties of determinants are true by solving the following: [3 1 -5 o -5 [-1 -4…

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Q: 3] Use determinants to find the values of X, Y, Z, W, N. 8X - 3Y + Z + 5W – 4N = 21 5X + Y + 7Z -…

A: We have: 8X-3Y+Z+5W-4N=215X+Y+7Z-13W+15N=277X+3Y+4Z-18W-12N=3511X-7Y-Z+9W+15N=5015X+10Y-7Z+2W+8N=19…

Q: Evaluate the determinant by general definition and by Laplace expansion: |-1 12 5 -6 -4 9 |4|= 1 1 2…

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Q: Compute the determinant of A by using a cofactor expansion: [8 6] 3 l3 -2 5] 1 A = |4

A: find the determinant using the first row

Q: 1. Evaluate the following determinants: 1 3 (a) |4 0 1 0 3 6. 4 0 2 (c) 6 0 3 8 2 3 8 a b c (e) b a…

A: see 2nd ,3rd and 4th step.

Q: Evaluate the determinant of A by using elimination method. 20 3 2 5 1 2 4 3 0 1 2 A = 5 3 2 1

A: Given: A=2032512430125321 Applying R2→R2-52R1, R3→R3-32R1,  R4→R4-52R1 Then the matrix A reduces to…

Q: Use la regla de la cadena para determinar y z = (z – y)" ,a = s°t, y = st * = 5(3*t – st')* (2st –P)…

A: Here we using the chain rule

Q: 5. Consider the following four matrices: ab c ba 2a 2b 2c a-3c b+Sa A= d e f #ME B-f d de f D d-3f…

A: In matrix B there is change of column vector from C3 to C1 so determinant will be…

Q: I) Calculate the fo Plowing determinants (show your wark): la) a-b atb 2 -- latb a-bl le) 2t 2t-1…

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Q: Consider the following system of linear equations: 2x, +2х, — х, %3 6 4х, +3x, + х, %319 1. Зх, —…

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Q: 2. Compute the following determinants using the permutation symbol. Verify your answer. 3. 0. a. 1 4…

A: Given :-  The Determinant of a matrix : A  =  32014-2-143

Q: Consider the following Gauss elimination What is the determinant of A? det (A)- - 0 A01 00 A 0 01…

A: Given: A→10-8010001A→100010006E1A→100001010E2E1A→1000-80001E3E2E1A=7-6-20-25003 To find the…

Q: Compute the determinant of the matrix by cofactor expansion. T-5 3 -3 57 0 -1 2 -2 3 0 -3 1 4 Select…

A: Let's find.

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: Let A = d. e f ? y 67 If det (A) = -7, compute the determinant of g h i B=d e b. 07 O-7 1/7 O-42

A: In matrix B, b23 position should be f in place of h. Otherwise it can't be compute.

Q: Expand the determinant 2 3 4 A = 1 5 3 by Rule of Sarrus. 3 0 5

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Q: Use expansion by cofactors to find the determinant of the matrix. 2 4 00 3 0 1 6 4 5 0 0 5 2 4 0 0 3…

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Q: Consider the following Gauss elimination. F00 1 10 0 0 EEA 0 1 10 -5 8 4 1 A 0 -3 0A→ 0EA 0- 100 0 1…

A: Given that,10001000-6E3E2E1A=-84-10-76005 From this let's find A. Now the given can be written as,…

Q: Find the value of each of the following determinants: |1 2 3 4 1 2 3 4 4 3 21 3 21 4 3 (a) 3 421 2…

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Q: By calculating AB and evaluating the determinants, verify that det AB = det A det B a12 b12 for the…

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Q: 4) The determinant (det A) = abc, in the cases when A is: a y |b a)A = , b) A = 0 c) A = 0 d) b& c а…

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Q: Find the following determinants by cofactor expansion along a convenient row or column. 3 7 2 5 -2 0…

A: 【a】 *we will expand the given matrix along the 1st row, to find the determinant using cofactor…

Q: 1 3. Use determinants to decide if the set of vectors 2 6. and 6. 5 is linearly independent. 4 1 4 4…

A: Explanation of the answer is as follows

Q: Expand the determinant of B by the second column and evaluate the occuring algebraic subdeterminants…

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Q: 8. Compute the following determinants: 0 0 0 2| 0 0 6 0 0 40 0 2 000 -3 0 0 0 0 0 6 0 0 0 |1 2 3 3…

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Q: 2. Verify that det(AB) = det(A)det(B) forthe following: -2 3 [1 0 2] a) A=-2 3 1 B= 3 -2 5| 1 2 1 3…

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Q: Evaluate the following determinants: 1 3 (a) |4 0 1 6 0 3 b c (e) b a b 8 4 0 2 (c)6 0 3 8 2 3 a a 2…

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

Q: Suppose AB = AC, where B and C are nxp matrices and Ais invertible. Show that B= C. Is this true, in…

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