2. Show that for any x, y e C" , det(1, +xy')=1+ y°x. Use this conclusion to compute the determinant 1+x,y, ху, ... 1+ x,y2 ... 1+x,y,| ...

Q: Q4. If the shaded area in the figure shown is 9 square units, find the value of a using determinant,…

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Q: Calculate û x ô if û = ĵ + 2k and û = -i - ĵ + k. %3D

A: Topic = Vector   if u→ =a1i+a2j+a3k and v→ =b1i+b2j+b3kthenu→×v→=ijka1a2a3b1b2b3

Q: determinant

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Q: B=" Let A = [_12] and B-[ 2 4 -2 35 determinants Compute @ without using Bb Solve Ax=b where b = [i]

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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: Q2) Compute the value of the determinant by using the Radial method: |2 1 0 D = 1 2 -1 |2 3 4

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Q: (4) Use determinant to find the area of the triangle with vertices (0, 0), (x1,Yı), and (x2, Y2) in…

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Q: 12.) Find the determinant of A= -2 3 1 57 -1 2 0 4 1 0 TN -2 1 3 -3 4 Show your work.

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Q: 2. Let B = {v₁ =, √₂ =, V3 =, V4 =}. Use determinant to determine whether B is linearly independent…

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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: Consider that the relation between the cost of production, the lot of size production and the number…

A: Multiple linear regression model: A multiple linear regression model is given as y = b0 + b1x1 +…

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: Solve the problem below. Compute the value of x by determi 4 -1 2 3 2 X = 10 2 1 3 1 14 2 4 LO

A: We will use elementary row operation to find the determinant.

Q: Use row operations to show thr tge determinant is 0.

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Q: 15. d e f 9 h i a b C 'a b с de f =-6 g hi

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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: For the set of equations 2x2 + 5x3 = 9 2X1 + X2 + x3 =9 3x1 + x₂ = 10 (a) Compute the determinant.…

A: The given system of equations,To find the solution of the system using the Cramer's rule.

Q: a' and b Expess the Vector paduct in from of de terminant: 2 = (2, a, as) 5= of where , (6, b, bs)…

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Q: 3. у3 Cјсos2х+c,sin2x

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Q: = x u2-) = (2) %3D If x 1. -1 = 10, then x = If the determinant 4. %3D |

A: Determinant of 2×2 matrix abcdcan be determined by ad-bc=0. Consider, 4-2x1=10 Solving the…

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: If A = x²zi + xyj + y²zk and B = yz²i+xzj + x²zk determine the expression grad(A.B) at the point…

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Q: Show that the homogenous equation (Ax + By) ⅆx + (Cx + Dy) ⅆy = 0 Is exact if and only if B = C.…

A: Please refer the attached image for complete solution.

Q: |2 1 D = 3 4 |3 3 -1 3

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Q: By eliminating the arbitrary constants of y = Cx² + C2x³ using determinants, then which of the…

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Q: Q2. Use elementary row or column operations to evaluate the determinant 1 7 -3] 1 3 a) 1 4 8 1 [4 -7…

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Q: 2. For the set of equations 2x, + 5x, = 1 2x, + x, + x, = 1 3x, + x, = 2 (a) Compute the…

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