The area of a triangle can be calculated using the determinant of the matrix. From the image below: P2(x2, y2) P,(x1, Yı) P3(X3, Y3) A(x1, 0) B(x2, 0) C(x3, 0) The coordinates of the image points above are arranged into a matrix A as follows: [x1_ yı A = |x2 Y2 Lx3 Уз and let the last column contain the number 1. The formula for finding the area of a triangle is: 1 area of triangle = 5 det (A) If the coordinates of the point P1 = (-1.4), P2 = (3, 1), and P3 = (2,6): A. Plug the coordinates of these points into matrix A. B. Using the first-row expansion method, find the minor and calculate the cofactor for each element of the first row. C. Compute the determinant of matrix A.

Q: -3 1 -2 3 Calculate the determinant by using row reduction: -4 4 2 1

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Q: If A - a (ª () C is equal to? and det A - 0 (in din) 0 a 0 c+2a d + 2b 4, then what is the…

A: This question can be solved using the concept of determinants.

Q: A = 060 4 1 2 20 04

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Q: Consider the following system 3x1+2x2 +3 x12x2 + 3x3 2x1 + x2 - 3 - 9 2x3 = -3 Find the determinant…

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Q: Find the determinant of the matrix M, where: Explain how you obtained your answer. M 0 0 0 3x 14 52…

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Q: Find the value of each determinant.

A: ABC-13550-2

Q: Evaluate the following determinants by inspection:

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Q: Use determinants to find x in the below equations: 5x + y - 3z = 0 - 9x + 2y + 5z -1= 0 4x + y -…

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Q: Use determinants to find x, y, and z in t

A: GIven,                 x+y+2z-6=03x+2y+4z-9=02x+3y-6z-3=0

Q: Find the value of each determinant.

A: To find the determinant

Q: If the determinant of the 2x2 matrix 3 a 2 b is 7, then what is the determinant of the 2x2 matrix a…

A: To find the determinant of matrix.

Q: -1 -2 5 A = -3 4 -3 1 The determinant of A is Does the matrix have an inverse? Choose v

A: we are given the matrix  A=-1-25-3040-31

Q: Find the determinants

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