[a b CT 3g 3h 3i Let A = d Lg h f and B 2d 2e 2f e а — 2d b - 2e – 2f C - If determinant of A is equal to 2 then determinant of B is equal to 6. O None of these О 12 O 12 O -6

Q: Evaluate the following determinants and justify your answer 1 2 1 a a² a³ sin a cos a sin(a + 0) 2 2…

A: Let's find determinant of given 4×4 matrix.

Q: a bc Given det = -2, find the following determinants. de f ghi gh i det a bc de f a b det 8d + a 8e…

A: given,

Q: 2.-Determinar: E = (A – B) n (B – C) Si: A - {x/x € N / "x" es divisor de 12} B - {x/x € N/ "x" es…

A: We have to determine  E=A−B∩B−C Where, A=x|x∈N such that x is divisor of 12 B=x|x∈N such that x is…

Q: 1. Use la derivación implícita para determinar 02/ax y 02/av: az/əx" ze 1. x² + 2y? + 3z² = 1 2. x²…

A: Given; 1. x2+2y2+3z2=1 2. x2+y3+z2=3xyz 3. ez= xyz Repost 4,5,6

Q: Using the property of determinants, prove that |1 bc a(b+c)| 1 1 ab c(a+ b)| 2) ca b(c +a)| = 0

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Q: [a а b 3g 3h 3i 2f c – 2f] If determinant of A is equal to 1 then determinant of B is equal to Let A…

A: In this question we have to find the determinant of matrix B and we are given with determinant of…

Q: 3. Find the determinant (-1) (1) (e) (-1) (2) (j + 1) (1) (2j) of the matrix below. (1) (ej²π) (-2)…

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

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Q: If A - a (ª () C is equal to? and det A - 0 (in din) 0 a 0 c+2a d + 2b 4, then what is the…

A: This question can be solved using the concept of determinants.

Q: [1 1 5 2 1 21 (1) Let A = 0 2 B C =|1 3 l3 -1. I-2 3 -21 1. Calculate (if it possible): a) AXB. b)…

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Q: b. |Given that, for some a, b, c, d, e, ƒ, g, h, i e R, \d e f h = 8, evaluate the following…

A: Given determinant is  abcdefghi=8 1)  x=3g3h3idef-2a-2b-2c Take common 3 and -2 from the first row…

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: 2d 2e 21 Let a, b, c, d, e. f be real numbers, A = e fl, and B = d-3 If determinant of A is equal to…

A:

Q: -1 2 b 1- a 2 2 2 Let A = 3 If det(A) = 4, then compute the determinant of B = 6 3 4 c+ 4 4 2 а)8…

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Q: 2а 2b b - c 2b 2а а+c| %3D-2(а — b)?(а + b) а +b a+ b а

A: This is a determinant problem

Q: b 3h 3g 2d a 2d b- 2e ra Let A =d e Lg h and B = 2e If determinant of A is equal to 2 then…

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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: 6e Let P(x) = A + Bx + Cx² + Dæ³ be a degree three polynomial and xo, X1, X2, Xz be four mutually…

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Q: Find the determinant in a) and b) where га CT f il det d e 7 %3D Lg_h а b C а C] а) А- 15g d f 5h…

A: Following are some results concerning determinant of a matrix. If we interchange any two rows, then…

Q: w Given fallowpng equatons: simultaneous 29+3b-C=l;49-2646=al;39446-2c=2.form equation qund…

A: Given problem:- part h Given the following simultaneous equations: 2a + 3b - c = 1 4b - 2b + c = 21…

Q: Find the value of x From the Following re lations of determinants x 3-3 =D33=2 %3D 3 -8 -8 38

A: We have to solve 40xx3-33-8-8 = 3x2 -8x8x - 0838

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: 18. Suppose that a C de f Find each of the following determinants. a Ь (a) d 3g 3h 3i О Ь (b) | d+3g…

A: Given  abcdefghi=7 a              abcdef3g3h3i=3abcdefghi                              =3×7…

Q: - Solve the tollowing Systrem by determinant s : 2 z +3 =y+3 x X -32=2y + I 3y +2=2-2.X

A:

Q: (a) Find x, y, z and B, where [0 x 37 A= 1 -3 y; A² = 1; c(4+1) + 3B7 = 2A and I: unit matrix 4 4…

A:

Q: a b c Given det d e f = 5, find the following determinants. h i a b det d. e f -3g -3h -3i a b det…

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Q: Find the determinant of the following: [2 0 41 1 2 4 144 21 1. I. L N 2. 3. 6 2 61 -4 5 7 -3 SEN SE…

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Q: [a b 3g 3h 3i Let A = |d S] and B = il 2d 2e 2f - 2f If determinant of A is equal to 1 then…

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Q: 16. a b c Given det def = 1, find the following determinants. ghi a b c ь с def P. 2g 2h 2i det %3D…

A: We use the properties of Determinants to find the answer of the given question.

Q: a b c Given det d e :3, find the following determinants. ghi g h det a b c 3 d e f a b det -9d + a…

A:

Q: За Зе 3f b c l, and B = a Let a, b, c, d, e, f be real numbers, A = |d e f a C [1 ld +2 f + 2] e If…

A: Given: A=abcdef101B=3d3e3fabcd+2ef+2

Q: a b c de f Given det = 4, find the following determinants. gh i ghi a b c det de f

A: Given abcdefghi = 4

Q: Use the determinant to find 4heValues (k for.. Ax X Such that 3 2 1 A= 7 c) S -3

A: To find the eigenvalues of the given matrices using determinant conidition (equation)

Q: Question No 3: Using properties of determinant, show that За + b 14а + 3b За 6al 2a a 3a = a3 |5a +…

A: From the properties of Determinants

Q: Find the values of λ for which the determinant is zero.

A: We need to find the values of λ for which the determinant is zero.

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: [x +y y+z z+x] 5. If A = then compute the determinant of A. y 1 1 1

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Let JA| = 4 and |B| = -3 where A and B are 3 x 3 matrices. Use the properties of the determinants to…

A: Given that: A and Bare two 3×3 matrices. Using property of Determinant , we need to determine (i)…

Q: a C Let A = If det A = 4, then the determinant of %3D b 4c – – 26 a A = q 4r – 2q| is 2z - Y |

A: Properties of determinant: abcdefkgkhki=kabcdefghiabc+pdef+qghi+r=abcdefghi+abpdeqghr In a…

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: [3 14. If A = |4 -1 2 1 2 , find A-1 and hence solve the system of equations -3] 3 3x + 4y + 72 = 14…

A: 14. Given  The matrix  is A=3214-1273-3  and  System of equation is  3x+4y+7z=142x-y+3z=4x+2y-3z=0

Q: [a c] 3g 3h 3i e f and B = lg _h Let A = |d 2d 2e 2f а — 2d b — 2e с — 2/ If determinant of A is…

A:

Q: Q1. (a) Apply Cramer's rule to solve the following system of equations 2x – 3y + 4: = -9 - 3x + 4y +…

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Q: Let M = [4 a 0 0 3 b 0 0 1]. Find the determinant of 2M + 3I3

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Q: 1. ( What is the determinant of the matrix A? where * r+1 r+2 A = y y+1 y+2 z z+1 2+ 2 (a) (r- y)(x-…

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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: [a 3d 3e 3f CT e fl, and B = li Let a, b, c, d, e, f be real numbers, A = |d b a 1. d + 2 f+ 2 e If…

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Q: Q9:- If x f(u, v) and y g(u, v), where u = (r, s) and v = (r, s). Prove that a(x.y) a(r,s) a(x.y)…

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Q: Question No 3: Using properties of determinant, show that За + b |4а + 3b За За- а3 5a + 6b 4а 2а a…

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Q: [2 0 01 [1 2 31 44. If A = 0 2 0 and B = 0 1 3, what is the product of the main lo o 21 lo o 21…

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