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

Q: Find a 3 x 3 matrix B where the determinant is 1 and the absolute value of all entries is greater…

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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: Use the Diagonal Method to evaluate the value of the determinant: 3 4 2 -1 - 3 -2 2 3 1 -1 | A = 1 3…

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Q: Use the method of elimination to evaluate the determinants

A: Question number 16 has been solved as per the request of the student.     This question can be…

Q: What does interchanging any two rows (or columns) do to the value of the determinant?

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Q: Can you please write in Words how the determinant is effected. A proof is not necessary

A: Since you asked for no proof and simple terminology.

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: Explain the fact” The determinant is zero when the matrix has no inverse”.

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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: 12 10 312 4 3 1

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

A: Determinate

Q: What happens to the value of a second-order determinant if the two columns are interchanged?

A: The value of a second order determinant becomes "-1"times of the original determinant value if the…

Q: what is the determinant of a matrix with a row or column of zeros? does a matrix need to be square…

A: This is a question related to Linear Algebra

Q: kindly solve for the determinant using Pivotal Element Method.

A: Given determinant X=4-12320211030114245

Q: Evaluate the determinant: 1 2 3 -2 -1 -2 3 2 O 4 4,

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Q: Illustrate the multiplying any row (or column) by a scalar do to the determinant?

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Q: Solve using Cramer's rule (determinants): 3x + 4y = -1 -2x + y = 8.

A: the given system of equations is: 3x+4y=-1-2x+y=8 we have to solve the given system of equations by…

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

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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: Calculate the 3×3 determinant. 1 0 1 -4 0 4 1 3 3 -1

A: Given determinant

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 determinant to solve the system 2x + 3y = z +1 3x + 2z = 8 - 5y x - 2y - 3z = -1

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Q: Use cofactor expansions to evaluate the determinant. Expand along the row or column that minimizes…

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Q: What is an example of 3x3 matrix with determinant 1

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Q: Eliminate the arbitrary constants from y = method and determinant method. C₁e* + c₂e-* by the…

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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: A = 1 7+ Toon

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Use Cramer's Rule to solve for x, in the system: -x, - 4x, +x, =-5 3x, +x, - 2x, =-13 2x, – 2x, +x,…

A: Concept:

Q: Compute the determinants using Gauss-Seidel method 2x1-6x2-X3 =-38 -3x-x2+ 7x; =-34 -8x, +x2- X3…

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

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 Cramer’s Rule (determinants) to solve the system: [x - y = -5, 3x + 2y = 0].

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Q: Find the determinant of

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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: 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: in a determinant the number of rows need not be same as the number of columns true or false?

A: We can solve the problem in a logical way.

Q: If A is orthogonal, show that its determinant is equal to ±1.

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Q: B = D = NUE OF 5 9- 7 - - - - Noo 5 نیا --- - 6 -

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Q: Can we use cofactor expansion in a 2 x 2 matrix? What is the determinant of a 1x 1 matrix?

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Q: Use 2 methods in evaluating the determinant. 9 -6 -5| 1.) -1 7 2 4 6m8

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Q: Without performing calculations, explain why the determinant of 1 0 0 3 0 4 2 -1 8 3 -2 4 1 is zero.

A: We prove that rows of the matrix is linearly dependent. If rows of a matrix is linearly dependent…

Q: For a 4x4 linear system, Cramer's rule requires to calculate 4 different determinants.

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Q: 2. For the set of equations 2x, + 5x, = 1 2x, + x, + x, = 1 3x, + x, = 2 (a) Compute the…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.