The set S is called a spanning set of V if the determinant is a. zero b. negative numbers c. imaginary numbers d. no determinant

Q: Use a determinant to find the area of the triangle with the given vertices

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Q: Compute the following determinant by cofactor expansions. At each step, choose the row or column…

A: Given data÷

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: Suppose A is a 2x2 invertible Martix. Is the following statement true or false?  The determinant a A…

A:

Q: If ∣A∣ = 7 and A is of order 4, then find each determinant.(a) ∣3A∣ (b) ∣AT∣ (c) ∣A−1∣ (d) ∣A3∣

A: Here given Use the property of determinant which states that

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: Verify the identity by expanding each determinant.

A: given akbckd=kabcdverify the identity by expanding the each determinant.

Q: Given the following statements below: STATEMENT 1: Three points (a1, Y1); (2,y2) and (a3, y3) are…

A:

Q: 1) If A = 4 3 and B=(2 -5 -1 -2 -1 -2 Find:- a) A b) determinant A c) Adjoint A d) B-'

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Q: How can the following problem be solved?  Use a determinant to find the area of the triangle with…

A: To solve the following

Q: If [B] = [A][A], What is the determinant of [B] given that [A] = %3D B| = 4 B = 16 B| = 9 B| = -4

A: The given matrix is A=2302. It is given that [B]=[A][A]. Evaluate the matrix B as follows.…

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: Use a determinant to find the area of the triangle with the given vertices.(−4, 0), (4, 0), (0, 6)

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Q: 2) Use the graph of Q (x) on the right to determi the following; a) Q(-2) 2 b) Q(2) -4-3 - 1.

A:

Q: Compute the following determinant. 4 6 -6 4

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Q: Let a, b e R. (a) Find the determinant of -2 1 -2 - 2.

A: (a) Given that, a2b-2124-2-1

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: 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: Verify the identity by expanding each determinant.

A: Given- abcd=-badc To verify- The identity by expanding determinant.

Q: Verify the identity by expanding each determinant.

A: We have to prove that, abcd=abka+ckb+d

Q: If B = then the determinant of B~1 is_ - (use property) a. 2 d. b. 10 с. 0.5

A: A matrix is a quantity with rows and columns. An entry in a matrix is determined by its row number…

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: Use a determinant to find the area of the parallelogram with the given vertices. (0, 0), (2, 0), (2,…

A: On solving , we get

Q: Consider the following points. (3, 5, -4), (2, 0, -5), (o, 6, -2), (-1, 1, -3) Set up and evaluate a…

A: Given data points (3, 5, -4), (2, 0, -5), (0, 6, -2), (-1, 1, -3) to check whether they are coplanar…

Q: Use a determinant to find the area of the triangle with the given vertices. (-6, 0), (6, 0), (0,7)

A:

Q: Find the area of a triangle with given vertices using determinants: A(0,0), B(3,1) and C(1,5) 8 5 7…

A: This question is based on finding area of triangle using determinant.

Q: "Determine whether each of the following statements is true or false,The determinant of any square…

A: A matrix is used to represent the coefficients of system of linear equations and the determinant…

Q: Sketch the triangle with the given vertices, and use a determinant to find its area. (-2, 5), (7,…

A: Given that: Points are-  (-2, 5), (7, 2), (3, -4)

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: Express the determinant in the form ai + bj + ck for real numbers a, b, and c.

A: Given determinant: ijk4-62-23-1

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: Find the value of each of the following determinants

A: The given matrix is 8924-76-1334001-200. Compute the determinant by using 3rd row as follows.

Q: (bj) be the squar %3D E i, j< 3. If the detern nt of BT is

A:

Q: Sketch the triangle with the given vertices, and use a determinant to find its area. (1, 0), (3, 5),…

A:

Q: By using the properties of determinant prove that a? |b² + c² b² a? c2 + a? b2 4a?b?c? c2 c2 a² + b²

A: By using the determinant property that is:…

Q: Verify the identity by expanding each determinant.

A: We have to verify the identity by expanding each side of determinants: abcd=aka+bckc+d Taking LHS,…

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: If A = 3 -5 and B = 6 -3           3 2                4 -1 Find:- a) A*A b) determinant A c) adjoint…

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Q: Let B={V₁ =,2 =, V3 =}. Use determinant to determine whether B is linearly independent or linearly…

A:

Q: Given three points (x1, y1), (x2, y2), and (x3, y3), the points are collinear if the following…

A:

Q: yono 4 Om O

A: Given determinant is, D=64-6-270048-35-79008

Q: Given that the vector å = a,î + a2j + azk and b = b,î + b2j + b3k. Show that the vector product of å…

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Q: a +d b+e c+, Find the determinants in Exercises, where d

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Q: Find the values of k that make the following determinant zero. 3- k| 6-k 4 7

A: We have to find the values of k that make the determinant  43-k6-k7 = 0.

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

A:

Q: Verify the identity by expanding each determinant.

A:

Q: Use determinant to decide if the following vectors are linearly independent: -8 7 -4 -6 7 -5

A: We know that the vectors {v1, v2, v3} are linearly independent  if det( v1, v2, v3 ) ≠0 Where…

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

A:

Q: Show that the equation of a line through (x1, yı) and (x2, y2) is given by the following…

A: A determinant