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

Q: Find determinant for the following matrices:

A:

Q: By computing the determinant of a suitable 2 x 2 matrix, find the area of the parallelogram with…

A: As we know that; The expression for the area of the parallelogram with adjacent sides a→ & b→;…

Q: The set S is called a spanning set of V if the determinant is a. zero b. negative numbers c.…

A: Solution

Q: Find the area óf the triangle with vertices (2,0), (4, 5), (7, 3) using determinants.

A: The area of a triangle by using the determinant method is shown below.

Q: Use determinant to find equation of the line passing through (2,3)and (-4,1).

A: We have to find equation of line by using determinant.

Q: Find the determinant using elementary row operation/cofactor expansion

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Q: Find determinant of the Matrix A

A: Given: A=266276377

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

A: We know that a matrix is singular if and only if the determinant of A is zero.

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: Compute the determinant using a cofactor expansion down the second column. 1 |-2 1 -6 -2 8

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Q: Use the determinant of a matrix to find the area of the triangle whose vertices are (1,7) (0,6) and…

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Q: Multiply each entry in row 2 of a 3 by 3 determinant by thenumber k, k ≠ 0. Show that the value of…

A: Consider a 3×3 determinant, ∆=a1b1c1a2b2c2a3b3c3   =a1b2c3-b3c2-b1a2c3-a3c2+c1a2b3-a3b2 On…

Q: By evaluating the determinants, verify the addition rule for the 2 x 2 case: a12 a22 la21 a22 la21…

A: Determinate

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

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Q: 18.Find determinant of matax A=14-1| detfA)=

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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: Find the determinant by row reduction to echelon form.

A: Given,          -5-55-6-55-235

Q: When finding the determinant using cofactor expansion, it is necessary to select the row or column…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Use either elementary row or column operations, or cofactor expansion, to find the determinant by…

A:

Q: Evaluate the determinants to verify the equation.

A:

Q: evaluate each determinant by expanding by minors along the first row. −2 −3 −4   5 −6   7  -1  2…

A: Evaluate the determinant -2-3-45-67-120

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

A:

Q: 2. Use determinants to calculate the area of the triangle with vertices (-1,2), (5,-3), and (4,4).

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Q: Find the determinant of the dhatrix. [-19]

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Q: Use the determinant formula for the area of a triangle to find the area of the triangle in the…

A: Here, x1y1, x2y2, x3y3 are 31, -13, -2-2

Q: Use a determinant to decide whether the matrix is singular or nonsingular. 3 1 2 2 4 4 - 3 3 1 1…

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Q: Use a determinant to find the area of the triangle with vertices (-2, 2), (8, 2), and (6, –5). Show…

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Q: Use either elementary row or column operations, or cofactor expansion, to find the determinant by…

A: We shall find determinant using elementary row operation.

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

A: NOTE: Refresh your page if you can't see any equations. . given vertices are

Q: Evaluate the determinants to verify the equation.

A:

Q: Use either elementary row or column operations, or cofactor expansion, to find the determinant by…

A:

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

A:

Q: Use elementary row operations to evaluate the given determinant. (1, 7, −3; 1, 3, 1; 4, 8, 1)

A:

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

A: Let us find the determinant by using the co factors of first row. Now the co factors of first row…

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 either elementary row or column operations, or cofactor expansion, to find the determinant by…

A: Given,

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

A:

Q: Evaluate the determinants to verify the equation.

A:

Q: Sketch the triangle with the given vertices, and use a determinant to find its area. (-1, 3), (2,…

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

A:

Q: Find the determinant of the mattrix. 3.

A: Given:- the matrix 0733To find: determinant of the matrix

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: 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 determinant to find out, if the matrix is invertible. 2 1 -7 -5 0 3 8 6.

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

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 find the area of the triangle with vertices (−2, 2), (8, 2), and (6, −5).

A: We suppose value in z axis for all three vertices to be 1.  Area of triangle=12×determinant