2. The sum of the digits of a four-digit number is 23. The ones digit is 4 times the thousands digit. If you add the tens and thousands digit the sum is 6 more than the ones digit. If the digits are reversed in order, the new number is 2997 more than the original number. Find the original four-digit number. (a) What are the equations? (b) What is the determinant of the coefficient matrix? (c) Find the four-digit number using the Gauss-Elimination (d) Find the four- digit number using the LU-decomposition

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: Q2: Find the determinant of 3x3 Matrix. 5 7-8 4-36 1 7-9

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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: What is the determinant of the matrix O O O 4 32 1 2 -1 3 1 2 2 3 2 -1 -1 1 2 -1 2 ?

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Q: Compute the determinant of the matrix using the best possible method. Zmatrix ((2 -2 6 4)(2 3 7 1)(6…

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Q: The determinant of a given matrix is unchanged if you interchange any two rows once and any two…

A: Let A  be any n×n matrix. Determinant is a scalar value which is associated to matrix A. Determinant…

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: solve the following system of equations. 2x₁ + 3x₂ = 7 6x₁ - x₂ = 1 Express the system of equations…

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Q: For the matrix below, verify that switching 2 rows or two columns only changes the sign of the…

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Q: Suppose det(A) = 5 and then you perform the following row operations in the order shown. What is the…

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Q: Use the fact that CA| = c"|A| to evaluate the determinant of the n xn matrix. %3D 12 A = 3. STEP 1:…

A: The objective of the question is determine the given matrix.

Q: Question: Find the determinant of the given system of equations using any appropriate method. -9+ 2r…

A: To find the determinant for the given system of equations.

Q: The determinant of the matrix 4 A = 0, 4 8 0 -9 is Hint: Find a good row or column and expand by…

A: Given:          A=0-4-900-9-2-30006000475-9-6-5980-9 Solve:        det…

Q: the appropriate that should be applied the differential equation 4 - 54 - 5 xyở ³ 2 K

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Q: Can you use elementary row column operations to find the determinant

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Q: +2: = 3

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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: 3. Solve your given pair of simultaneous equations (with two variables) using matrix and determinant…

A: Given: Let consider the given simultaneous equation: 2x+3y=185x-4y=-1 We have to solve using matrix…

Q: 1. Evaluate the determinant of the matrix -3 4 P = 2-3 -4 -4 -3-4, -1 -2 3 1 -2 3 12

A: As per the guidelines I am answering only one question at a time. 1] P=12-34-1-23-41-23-412-3-4

Q: If the determinant of a 5x5 matrix A is 2, what is the determinant of the adjoint of A? A 16 B 8 с 4…

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Q: (x-3y +3z = -8 7x+y +2z = 6 3x +2y - z = 4

A: Topic:- matrix