DISCOVER = PROVE: Determinant Formula for the Area of a Triangle The figure shows a triangle in the plane with verti- ces (a, b1), (a2, bɔ), and (a3, b3). (a) Find the coordinates of the vertices of the surrounding rectangle, and find its area. (b) Find the area of the red triangle by subtracting the areas of the three blue triangles from the area of the rectangle. (c) Use your answer to part (b) to show that the area sA of the red triangle is given by a, bi A = + a, b 1 1 az bz 1 yA (a3, b3) A (a2, b2) (a, b)

Q: (1 b) What is the determinant? Write a formula for calculation of the second or der determinants.…

A: We have to Write What is the determinant Also Write a formula for calculation of the second order…

Q: Use determinants with the following vertices: to calculate the area of a polygon Enter your answer:…

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Q: -36 -7 2 and ) Evaluate the following determinants: nary unit. O Solve the below pair of…

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Q: a b c Find the determinant below, where d e f = 8. ghi a a b c d e f 5g 5h 5i b c d e f 5g 5h 5i CD…

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Q: According to determinant properties, multiple of one row is added to another row then determinant…

A: In a determinant, the given property states that multiple of one row is added to another row. We…

Q: refer  to  image  below.

A: Area of the triangle is 63.5 .Explanation:

Q: - Solve the tollowing Systrem by determinant s : 2 z +3 =y+3 x X -32=2y + I 3y +2=2-2.X

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

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Q: Use Cramer's rule to solve the system. Write the fractions using Cramer's Rule in the form of…

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Q: Using determinants, find area of each: A. (1,4) (10,2) (8,12) B. (1,-9)(6,-3)(-3,1)(-5,-6) C.…

A: The given problem is related with area of quadrilateral. We have to find the area of the following…

Q: Show that the determinant of the matrix is equal to the determinant of its transpose by expanding…

A: Here, we have to find |A| and |A^t| by expanding third row and third column respectively.

Q: Use determinants with the following vertices: to calculate the area of a polygon Enter your answer:…

A: Here we have to find out the area of given polygon using determinants.

Q: Determine which property of determinants the equation illustrates.

A: Consider the given equation as

Q: 2 Find the determinant of -3 1 -3 51 6 2 -2 51

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

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

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

Q: Use a determinant to calculate the area of the triangle. 13 12 11 10- 9+

A: Given coordinates of vertex of the triangle are x1,y1=0,0x2,y2=2,10x3,y3=-10,12

Q: Question Find determinant by cotador expansion -3 3 -2 4. 8.

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Q: ODD MOLE Find the determinant: 15 4 Find the determinant of 3 -6 14 2 7 5 -31

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Q: sing Matrices and Determinants, solve the following applied problems. Find the area of the triangle…

A: given  vertices of the triangle (-1, -2), (2, -1), (1, 3)

Q: a bc 2a a-b a-c de f=3, then find the determinant of 2d d-e d-f g hi 28 g-h g-i A. -24 В. 24 C. -6…

A: Properties of determinants: If two rows or coloumns are identical then it's value is zero. If some…