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

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

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Q: Use a determinant to decide whether the matrix is singular or nonsingular. 2 7 16 singular…

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Q: Use properties of determinants to find the value of each determinant if it is known that

A: x yzu vw1 23 = 4   x   y  z-3-6-9   u   v  w = ?

Q: Use determinants to determine whether each of the following sets of vectors is linearly dependent or…

A: Since you have asked for a question with multiple sub-parts, we will solve the first three sub-parts…

Q: - Fill in the blanks with appropriate numbers to calculate the determinant. Where there is "±",…

A: det21-34Find the matrix determinant according to formula:  deta  b c  d  = ad-bc=2· 4-1·-3=11

Q: Use properties of determinants to find the value of each determinant if it is known that

A: Given Determinant             x+3y+6z+93u-13v-23w-3123 Decompose given determinant into two…

Q: Use expansion by cofactors to find the determinant of the matrix.

A: Given matrix:

Q: Use a determinant to find the area of the triangle with vertices (0,0), (4,5), and (5,-2).

A: Use the determinant to find the area of a triangle with vertices (0,0),(4.5).(5.-2)

Q: Use properties of determinants to find the value of each determinant if it is known that

A: Given: Use properties of determinants to find the value of each determinant if it is known that…

Q: Find the area of the triangle with vertices (−1, −2), (2, −1), (1,3), in inches. Use the matrices…

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Q: Use elementary row or column operations to find the determinant.

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Q: Determine which property of determinants the equation illustra 1 3 0 0 9 8 -7 4 0 = 0

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Q: Use a determinant to find an equation of the line passing through the points (1, 4) and (5, −2).

A: Let (x, y) be any point on the line passing through given points.

Q: Use the determinant to find the equation of a plane passing through the points (3, 2, -2), (3, -2,…

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Q: Using the determinants, check if the following vectors are linearly independent: u= (5, 0, 7) v= (2,…

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Q: Find the value of the determinant

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Q: Use a determinant to decide whether the matrix is singular or nonsingular.

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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: Use properties of determinants to show that the following is an equation of a line through the…

A: Consider the provided matrix, xy1x1y11x2y21=0 Use properties of determinants to show that the…

Q: Use a determinant to decide whether the matrix is singular or nonsingular.

A: Given: The matrix

Q: State which property of determinants is illustrated in this equation. -3 6 7-4 7-4 - 3 7 -9 6. 7 -9

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Q: Using properties of determinant, show that За + b |4a + 3b За 15а + 6b 2а а 3a = a3 ба 4а

A: We have to show that : 3a+b2aa4a+3b3a3a5a+6b4a6a=a3 Taking the Left hand side we have:…

Q: Use a determinant to decide whether the matrix is singular or nonsingular. O singular O nonsingular

A: If the determinant of a matrix is zero then the matrix is singular. If the determinant of a matrix…

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: Use elementary row or column operations to find the determinant. 1 12 -9 10 2 21 32 -29 19 2 31 48…

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Q: Use a determinant to find an equation of the line passing through the points.(−4, 0), (4, 4)

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Q: For each matrix, determine det(A). Prove your answer by showing your calculation and stating clearly…

A: For (a), A=det8164043-27  =8·det04-27-1·det4437+6·det403-2  =8· 8-1· 16+6-8  =0

Q: Use a determinant to find an equation of the line passing through the points (x, y). (−2, 5), (4,…

A: (x,y)      two points given that (-2,5)     &      (4,3)

Q: Use determinants to find out if the matrix is invertible. - 25 2 - 5 -6 2 O 10 -3 1,

A: A metric is set to be invertible if its determinant is non zero. We will find the determinant of the…

Q: Evaluate each determinant when a = 1, b = 4, and c = −3.

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Q: Use determinants to decide if the set of vectors is linearly independent. 7 -8 7 - 3 4 -2 7 - 4

A: We use the relationship between vectors and the determinant of a matrix whose columns are these…

Q: elect an Answer v 1. -3 -9 -6 6 -2 -3 -1 3 -5 -18 -14 12 -3 -9 -6 elect an Answer v 2. -1 -7 -2 -7 1…

A: We have to check whether given set of vector is linearly independent or dependent.

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: Use elementary row or column operations to find the determinant.

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Q: Use elementary row or column operations to find the determinant.

A: Given: The determinant

Q: Define the term determinant.

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

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Q: Use a determinant to find an equation of the line passing through the points.(2, 5), (6, −1)

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Q: Use determinants to determine whether the following 2 × 2 matrices are nonsingular

A: Given 2 × 2 matrix: 3624 Concept used: If the determinant of a matrix is zero, then the matrix is…

Q: Use a determinant to find an equation of the plane passing through the points.(0, 0, 0), (1, 0, 3),…

A: Consider the following points: 0,0,0, 1,0,3, 0,3,4 x1=0,y1=0,z1=0x2=1,y2=0,z2=3x3=0,y3=3,z3=4

Q: Use elementary row or column operations to find the determinant. -5 1 3 1 4 7 1

A: To find the given determinant we will use the elementary column operations.

Q: Use elementary row or column operations to find the determinant.

A: Given: A=2-1-1132-633 for evaluating given determinant we expand it along row one

Q: Evaluate the determinant.

A: Given : 2313-1234

Q: Use a determinant to find an equation of the plane passing through the points.(0, 0, 0), (2, −1, 1),…

A: we know that equation of plane passing through pointsx1,y1, x2,y2, x3,y3 is given by…

Q: Use a determinant to find the area of the triangle with the given vertices. (-6, 0), (6, 0), (0, 3)

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Use a determinant to decide whether the matrix is singular or nonsingular. 1 2 2 3 1 O singular…

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Q: Use a determinant to find the area of the triangle with the given vertice units? y (4, 5) 4 2 (0, 0)…

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