4. Find the value of scalar a if a = det(F)+det(D) Hint: use properties of determinants F = 1 0 1 -3 0 D= T TOOO -2 4 2 4 -1 0 6 0 1209 [1 -12 12 Lo 24 2 -3 ܥ ܩ 9 HO 1 200 0 0292 229 0 2 161 12 -3 -3 - 1

Q: determinant

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Q: Evaluate the following determinants and negative of determinants of order two: (a) (1) 3 4 5 (ii) 3…

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Q: 4. Evaluate the following determinants and justify your answers. 1 a 1 a a² (b) (c) a² a 1 a a³ a² a…

A: Note: As per our policy, we are allowed to answer only first two parts of question kindly post…

Q: Compute the determinant of 0 1 0 1 1 0 001

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Q: 1 1 1 -2 det(A) =det 1 0 -2 = 4 det(B) =det -1 -1 =-1 0 2 -1 Using the properties of determinants…

A: Given: det(A)=det11010-2020=4 det(B)=det10-20-1-10-10=-1 To determine: The value of d=det2B-1ABT…

Q: Q4. Using row reduction evaluate the determinant |2 1 3 1| 1 0 1 0 2 1 0 lo 1 1 2 31 And also,…

A: Let ∆=2131101102100123 Applying R1↔R2 , we get  ∆=-1011213102100123 ( on changing any two rows or…

Q: Compute the indicated 3 X 3 determi­nant using cofactor expansion along the first row and along the…

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Q: Show that y = e", y = e2" , y = x and y = x² are linearly indepent functions %3D Hint: Use the…

A: To show y=ex,y=e2x,y=x,y=x2 are linearly independenr we are going to provethat the workian is…

Q: Calculating Cross Products with Determinants Find u X v and v X u if u 2i +j + k and v = -4i + 3j +…

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Q: 1 -1 5) Let A= 1 0 -1 9-1 3 10 points a) Find A-. b) Find det(A), that is, the determinant of A.

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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: Find the determinant of 3 -1 0 20 05 01 1 8 -4 0 1 0 -4 2 NO using properties of the determinant.

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

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Q: Q#I (a): Let A = Find a non-zero column vector u = such that Au = 3u. %3D Describe all such vectors.…

A: (a) Let A=134-3  The objective is to find u=xy such that Au=3u The Au=3u can be written as, Au-3u=0…

Q: a b c [#] e f Lg h i If det(A) = 3, compute the determinant of B. Let A = d B= -2 02 O-3 03 h i g 2a…

A: Given that, A=abcdefghi    and,  detA=3 B=ghi2a+d2b+e2c+fabc We have to find det(B) We have to use…

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: 7. Consider 1 2 2 3 B = Find all values of b such that B is has no inverse.

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Q: Compute the determinants using cofactor expansion along the first row and along the first column.

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Q: 3] Use determinants to find the values of X, Y, Z, W, M. 26 14X7Y+5Z - 11W + 21M = 33 -3X + 5Y-13Z -…

A: We have to find the values of X, Y, Z, W, and M using determinants.

Q: 1. Let f(x) = 4x5 - 4x³ + 2x² + 3x - 1. Then use Horner's. method to

A: As you post multiple questions according to guidelines I only solve the first problem . Please post…

Q: (A) Determine matrix X, where (AB-31X= B and I: unit matrix A=[3 -2 5 and B=[1 6 4]

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Q: cos no sin ne - sin no cos no 4 -1 5 -4 -2 1 -3 1 -5 2 2 -1 3.

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Q: 3. [2.2-Q18] Evaluate the determinant, given that b с e f h i la d 9 = +d b+e -d 9 -e h -6. c+f - f…

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Q: 1 5) Let A= 1 -1 TON 0 2 0 -1 3 -6 a) Find A-¹. b) Find det(A), that is, the determinant of A.

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Q: Evaluate the 4x4 determinant by using signed minor or cofactor method: 1 2 3 4 011 0 3 2 1 1 1 0 4 0

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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: II. Find the determinants or prove the equations in the following. Properties of determinants or…

A: We need to find , determinant of a2 + 2a2a + 112a + 1a + 21331 We will use cofactor method ,  For…

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: 1 1 -2 det(A) = det -2 = 4 det(B) = det -1 -1 =-1 0 2 0 -1 Using the properties of determinants…

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Q: 1. Evaluate the required determinant using the following techniques and show your step-by-step…

A: Given: Use the following strategies to evaluate the required determinant and show your step-by-step…

Q: Example C The following two functions are linearly independent: Yk (2) = e rọk, 0 = constant. (4.99)…

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Q: ах bx ах bx Vronskys determinatof functions , e, e хе хе

A: Vronsky's determinant: The Vronsky's determinant of a functions f1,f2,..., fn is given by,…

Q: 1 1 b+c a+c 1 -1 1 a+b+ 111 a b с 0-20 = 0

A: Aim:111b+ca+ca+b1-11+111abc0-20=0

Q: 1. Determinants. a) Calculate the following determinant and find the b value. CU6 -1 det CU2 Y = ax…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…