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 c) 3 d) 4

Q: Compute the determinants using cofactor expansion along any row or column that seems convenient

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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: Given A= [aij], the __________ of the element aij is the determinant obtained by deleting the ith…

A: Given A= [aij], the __________ of the element aij is the determinant obtained by deleting the ith…

Q: Label the following statements as true or false. (a) The determinant of a square matrbc may be…

A: (a) The determinant of a square matrix may be computed by expanding the matrix along any row or…

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

A: Given that x=fu,v and y=gu,v where u=ϕr,s and v=ψr,s. It is required to prove that…

Q: In 2-space, the absolute value of the determinant is equal to the area of the

A: The absolute value of the determinant is equal to area of _______

Q: Prove that a 3 by 3 determinant in which the entries in column 1 equal those in column 3 has the…

A: We know that the value of a determinant with any two identical rows or any two identical columns is…

Q: 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…

A: This is a problem related to determinant.This is lengthy/complex problem so I am doing it in…

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

A:

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

A: To show: detIn+xy*=1+y*x for any x,y∈ℂn   To compute:…

Q: From the list below, select all TRUE properties of determinants. (But do not select any false…

A:

Q: . Prove that,if row 2 of a 3 by 3 determinant is multiplied by k,k ≠0, and the result is added to…

A: Explanation: Given that, 3×3 matrix  Suppose  A=abcdefghi Find the determinant of A…

Q: The determinant of a 3 x 3 matrix A is 4. If det (kA) = 9, then the value of the constant k is…

A: Given: |A|=4 |kA|=9 To find k value

Q: Compute the determinants using cofactor expansion along any row or column that seems convenient

A:

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

A:

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: a) By using the property of the determinants prove that 1 + a? - b2 2ab -2b 1- a? + b? = (1 + a? +…

A: By using the properity of determinats prove that :

Q: 2. For any real numbers x, y, z what is the value of the following determinants |0 0 0 y| 0 0 а) 0 0…

A: a) 000y0x0000z01000=0+0+0+-11+40x000z100=-0x000z100=-0-x0-0+0=0 This is the required answer.

Q: Show without computation that the following determinant is equal to zero. Hint: Consider the effect…

A: we have to show without computation that the given determinant is equal to zero. the given…

Q: Prove WITHOUT using the product property of determinants: If M, N are triangular matrices, |MN| =…

A:

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: 2. For real numbers 11,...,n, consider |10 0 1 1 0 0 1 1 0 0 0 0 0 0 ... W.w. ... 0 0 0 0 0 0 1 1…

A:

Q: or false: The (i, j) cofactor of A is the determinant of the matrix Aij. True False

A: We want to find the given statement is true or false.

Q: Find a concise 3 * 3 determinant formula that gives the area of a triangle in the xy-plane having…

A: To determine the determinant formula that gives the area of a triangle.

Q: Compute the indicated 3 X 3 determi­nant using cofactor expansion along any row or column that seems…

A:

Q: Find the value ofr by the proprieties of determinate | 3 -3 5 4212 3. 2r 2 -72 to 2-1

A:

Q: Compute the determinants using cofactor expansion along any row or column that seems convenient

A:

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

A:

Q: 2 .Compute the area of the parallelogram determined by u, v, u+ v, and 0, and compute the…

A: We know that the area of a parallelogram is = base * height

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: (1 point) If the determinant of a 5 x 5 matrix A is det(A) = 9, and the matrix B is obtained from A…

A:

Q: Suppose we wish to compute the determinant of 7-3 0 A--2 1 -5 1 by cofactor expansion on row 1. What…

A:

Q: * Suppose the mbrxP. 4x4 peraubibun mabrx with even numberof permutahion, Find bhe maxinum…

A:

Q: 6. Suppose that a 3 x 3 matrix A has its three rows given by vectors u, v, and w in this order (that…

A:

Q: Prove that the following matrix is not invertible by computing the determinant: [sin^2(alpha),…

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Q: 1. Encuentre la ecuación del plano determinado por los puntos P(1,2,3) Q(2,3,1) R(0,-2,-1) 2.…

A: Vector equation of the plane passing through the three points with position vectors a, b and c is…

Q: Use the cofactor expansion to compute the following determinant: 10 9 8 det 10 -8 -10 = 0 %3| -3 -8…

A: NOTE: Refresh your page if you can't see any equations. . find the determinant using the first row

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

A:

Q: A) D= - 2j+ ak (aER), V= 2i+ aj-5k W= i-J+2k are given. %3D %3D Deter mine values of a such that…

A:

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: Determine the Determinants of mat A * 1 -2 3 mat A = | 7 8. 1 -3 -9 -10]

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

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Q: Using only the theorems on determinants and the row/column operations, show that: 0 0 0 0 5 0 0 0 2…

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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…

A:

Q: Compute the determinants using cofactor expansion along any row or column that seems convenient

A: Given 11-12013-21.

Q: B(4,7) Cl9,5) 4 3 JA(1,2) 2 3 5 6 1 8 9

A:

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

A: Consider the provided matrix, λ200λ+1201λ Find the value of λ for which the determinant is zero.…

Q: Compute the indicated 3 X 3 determi­nant using cofactor expansion along any row or column that seems…

A: Compute the indicated 3 x 3 determinant using cofactor expansion along any row or column that seems…

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

A: