Recall that elementary row operations on a matrix affect the value of the determinant. Use this technique of evaluating to find the determinant of the following matrix by recording the changes to the determinant as it is reduced to row-echelelon form and give the final value of the determinant.

Q: Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the…

A: Given: System of equations -10x-2y=-20 8x-2y=-15 To do: Solve the given system using Cramer's…

Q: Q4. If the shaded area in the figure shown is 9 square units, find the value of a using determinant,…

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Q: 3 4 2 1 (a) 1 5 7 (b) -6 3 -2 2 -6 -1 7 1 -1, | 2nd row and 1st column 3rd row and 2nd column 5 -1 6…

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Q: Evaluate this determinant by cofactors of row 1: 4 4 4 4 1 2 0 1 2012 1 1 0 2 Check by subtracting…

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Q: Jse determinant to calculate the area of a triangle with the following vertices: A = [2,1] B = [8,7]…

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Q: Find M13 and C13. M13 - C13 = i 39 39 A = -90 0 8 1 0-5 -1 1 -9-2 50 2

A: Given matrix is A = -906-100-5-181-9-21502

Q: to compare the numbers of operations involved in calculating the determinant of a 10 × 10 matrix by…

A: We use the Row Echelon Form Method.    It is used to reduce the given matrix to triangular form and…

Q: Question 9. Solve ans show work. thanks

A: Hey! Done below. Please ask for further clarifications.Explanation:Step 1:Step 2: Step 3: Step 4:

Q: The expansion of a 3x3 determinant can be remembered by this device. Write a second copy of the…

A: The given determinant, -123034-550. We have to find the value of the determinant using the given…

Q: Use properties of determinants to find the value of each determinant if it is known that

A: Given: Use properties of determinants to find the value of each determinant if it is known that…

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: 12 10 312 4 3 1

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Q: Explain determinant of a matrix your own word in 100 words And also give an example of determinant…

A: Every square matrix can be associated to an expression or a number which is known as number.…

Q: Please make it step by step sol:

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Q: Given the following matrix, find (1) the determinant and (2) the multiplicative inverse of the…

A: The determinant and the multiplicative inverse of the determinant for the given matrix are provided…

Q: Use the determinant of a matrix to find the area of the triangle whose vertices are (-2,- 7), (6,…

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Q: Can you show how you did the second part, I am still unsure about how to just see that the…

A: In 1st part we replace 5th row by subtracting 5th row from 1st row. So 5th row is zero row.

Q: Evaluate the determinant of the following system of simultaneous linear equations and identify the…

A: Introduction: Determinant is very important in solving a system of linear equations. The solution is…

Q: Find the determinant of the matrix using the formulas in number 1 then check your answer with…

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Q: Use determinants to find y in the below equations: 7x + 5y - 3z - 16 = 0 3x - 5y + 2z+8 = 0 5x + 3y…

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Q: 4. Express the following statements in one of the forms P V Q, P ^ Q, or ~ P. Be sure to clearly…

A: (a) Let P be the statement  P: The matrix A has zero determinant  Therefore , the given statement :…

Q: Consider a 20x20 invertible matrix A whose determinant is 2. Let B be the matrix obtained from A by…

A: Given: A is a 20×20 matrix. The determinant of matrix A is 2. B is the matrix obtained by…

Q: Please help with solution with steps

A: The determinant of the given matrix is 98.       Explanation:Step 1:To compute the determinant of a…

Q: Use properties of determinants to find the value of each determinant if it is known that

A: We have to find the value of determinant by using properties of determinant: xyzuvw246 Where it is…

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

A: To find the determinant of the matrix

Q: 24. The inverse of a 3×3matrix may be found by -3 4 25. Determine the matrix AxI, A= and transposing…

A: Transpose is an operation in matrix algebra. When we interchange the rows and columns of a matrix,…

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

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Q: 3 b Find the value of b that make the matrix A singular. 3 5 b =

A: Note : According To our guidelines we can solve only first question and rest can be reposted.Thank…