(4) Use determinant to find the area of the triangle with vertices (0, 0), (x1,Yı), and (x2, Y2) in R?.

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: In 2-space, the absolute value of the determinant is equal to the area of the

A: The absolute value of the determinant is equal to area of _______

Q: 2 -2 3. 3. 3. 3.

A: Pivot element is the first nonzero number in the first non zero row. In this method, we reduce the…

Q: Find a 2 * 2 determinant formula for the area of the triangle in the xy-plane with vertices at (0,…

A: Given, vertices of the triangle are

Q: Prove that a 3 by 3 determinant in which the entries in column 1 equal those in column 3 has the…

A: We know that the value of a determinant with any two identical rows or any two identical columns is…

Q: Solve for the determinant using Cofactor Expansion Method only. 1 3 5 1 4 3 7 A = 2 4 6 8 5 7 3 6 7…

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

A:

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

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Q: Evaluate the determinant of the given matrix by cofactor expansion along the indicated row.

A: Given the matrix 01+i2-2i01-i34i0We need to find the determinant of the matrix by cofactor expansion…

Q: Evaluate the determinant by expanding by cofactors. 2. 2. 1. 1 -1 3. H

A:

Q: What is the cofactor of the entry a3,1 of the given determinant ? 3 -2 1 A = |-1 2 -4 -3 5 A. To

A: D)  option D is correct.

Q: Evaluate the determinants to verify the equation.

A:

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

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Q: Compute the determinants using cofactor expansion along the first row and along the first column.

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Q: Evaluate the determinants to verify the equation.

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Q: 1 - 0 3 2 A = 1 1 -5 - 1 2 4 2 1 3 3.

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Q: Compute the determinants using cofactor expansion along the first row and along the first column.

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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. W(x5, x²) = fot 2x = (x²)(5x4)-(2x)(x5) The Wronskian ---Select--- equal to 0…

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Q: what is the relationship between the det(CA) and det(A) if the size of A is nxn? list the properties…

A: Properties of Determinants:·  Let A be an n × n  matrix and c be a scalar then:·  Suppose that A, B,…

Q: Find a 3 x 3 determinant equation similar to that in Exercise 7 that describes the equation of the…

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

A: Given,         wxyz21-152427-2410-3218-224035-32

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

A: Given Data The matrix is   Evaluate the determinant of the given matrix,

Q: Use the cofactor expansion theorem to evaluate the given determinant along the specified row or…

A:

Q: Compute the determinants using cofactor expansion along the first row and along the first column.

A: Now co factors of first row are

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: 5 0 -7 2 - 6 0 0 2 8 4 -7 3 - 8 6 0 4 - 4 0 0 - 1 4

A: The Determinant is, (- 384)   The detailed solution is as follows below::

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: Solve for the determinant using Cofactor Expansion Method only. 3 5 1 9 6 5 4 3 7 A =| 2 4 6 8 5 7 3…

A:

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

A:

Q: Compute the determinants using cofactor expansion along any row or column that seems convenient

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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: Evaluate the determinants D,Dx,Dy, and Dz.

A:

Q: When expanding a determinant by minors, when is it necessary to supply a minus sign?

A: When expanding a determinant by minors, we need to supply minus signs while in an alternate way. For…

Q: Why Wronskian determinant W(a) = |X(a)| is nonzero?

A: A Wronskian is a mathematical tool that is used to check for linear independence of solutions of…

Q: 1 3 4 -2 3. 2. 3. 3.

A:

Q: Eliminate the arbitrary constant by determinants:  1. xsin(y) - ycos(x) = c

A: Eliminate the arbitrary constant by determinants: 1. xsin(y) - ycos(x) = c

Q: Expand the determinant 2 3 4 A = 1 5 3 by Rule of Sarrus. 3 0 5

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Q: 2. Use row/column operations and properties of determinants to show that (Do not expand using…

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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: 1 - 2 0 3 - 5 2 A = 1 1 -1 2 3 4 2 1 3.

A:

Q: Expand the determinant of B by the second column and evaluate the occuring algebraic subdeterminants…

A:

Q: Find the determinant of A.

A: The given matrix is A=210312402-2204015. a) Evaluate the determinant of the matrix A along the first…

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: Find the determinant of the matri> 1 0 2 4 0 1 3 2 A = -1 1 4 2 3 0-1

A:

Q: Evaluate the determinants to verify the equation.

A: Given: wxyz=wx+cwyz+cy

Q: Find the values of λ for which the determinant is zero.

A: Consider the provided matrix, λ200λ+1201λ Find the value of λ for which the determinant is zero.…