= x u2-) = (2) %3D If x 1. -1 = 10, then x = If the determinant 4. %3D |

Q: Let A be an n × n nonzero matrix satisfying A10 = O. Explain why A must be singular. What properties…

A: Here given

Q: Yi = 2x} – 3x2 + 49 = 4x – 20xỉ + 12xfx2- 30x2 + 9x + 7 Find the Jacobian determinant of Is the…

A: In this question, the concept of the Jacobian determinant is applied. Jacobian Determinant…

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: 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: Determine the determinate of x, sin x, cos x by using a 3x3 matrix

A:

Q: Calculate the Dy determinant for 2X2 equation. -8x + 3y = -5 7x - 2y = 3

A:

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

A:

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

A: Given determinant X=4-12320211030114245

Q: Show how Rule 6 (determinant= 0 if a row is all zero) comes from Rule 3.

A:

Q: Calculate the determinant Dy for 3X3 equation. 5x + 3y – 2z = 10 2x + 4y - z = -6 3x + 5y - 4z = -8

A: Given Equations are 5x + 3y - 2z = 10 2x + 3y - 2z = -6 3x + 5y - 4z = -8  we have to find…

Q: snip

A: To compute the determinant of A = 5-321022-13

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: Compute the determinant. -3 2 -2 2 0 -1 2 -2 7) 0. 0 -3 1 4 21 -3 1 05 -3 5 8) -4 3 3 3 -2 5 1

A: The determinant of a matrix can be calculated by expanding the matrix along a row or a column. The…

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

A: Given determinant

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

A:

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

A: Given: A=012-10-3230 We know that determinate of any given matrixP=a1b1c1a2b2c2a3b3c3 by cofactor…

Q: evaluate each determinant by expanding by minors along the first row. −2 −3 −4   5 −6   7  -1  2…

A: Evaluate the determinant -2-3-45-67-120

Q: How can I find the inverse of a non-square matrix whose determinant is not equal to zero My teacher…

A: We can find left inverse and right inverse of non square matrix. but we can’t define determinant of…

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

A:

Q: 2. Use determinants to calculate the area of the triangle with vertices (-1,2), (5,-3), and (4,4).

A:

Q: If the determinant of a 5x5 matrix A is 2, what is the determinant of the adjoint of A?

A:

Q: Is it possible to find the determinant of a 4x3 matrix? If yes, cite an example, if not please give…

A: A matrix has an determinant iff it is a square matrix i.e of order n×n

Q: For which matrix we are unable to find inverse, determinant.

A: We have use the matrix property

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

A:

Q: - use determinant to find the values of the unknown variables of the system 2x + y + 3z = 6 3x +z =…

A: See the details solution in below

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

A:

Q: Explain the operational determinant?

A: The operational determinant :- Consider a system of two linear differential equation  L1x+L2y=f1t…

Q: Give three examples of application of determinant in engineering

A: (1) Determinant can be used to find solutions of the multi variable linear equations.

Q: The determinant of identity matrix is: * 1 Depends on the matrix

A: Solution: The determinant of identity matrix

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: Explain how to evaluate a third-order determinant.

A: Consider the provided information, Let A matrix is A=abcdefghi Find the determinant of the matrix.…

Q: 1 2 -1 4 0 1 2 0 3 -2 2 -1 1 2 0 -2

A: Given: A=12-14012-2032-1120-2

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: Suppose (x, y, z) and (1, 1, 0) and (1, 2, 1) lie on a plane through the origin. What determinant is…

A:

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

A:

Q: 3. у3 Cјсos2х+c,sin2x

A:

Q: Explain determinants in your own words provide 2 real life/ industerial apllications of determinants

A: Determinant is a factor that directly leads to a decision. In algebra, determinant is the scalar…

Q: Please make it step by step: b.Using Matrix [C] and ‘k’ prove that Property 3 of determinant is…

A:

Q: c.Using Matrix [D] prove that Property 4 of determinant is true

A: Determent of the Matrix, using properties

Q: Find the determinant using co-factor method

A:

Q: 1. Encuentre la ecuación del plano determinado por los puntos P(1,2,3) Q(2,3,1) R(0,-2,-1) 2.…

A: Vector equation of the plane passing through the three points with position vectors a, b and c is…

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: 5. y= e2*(c,cosx+c,sinx)

A: y=e2x(c1cosx+c2sinx)

Q: If 54 = the determinant of the matrix below. 3 -4 What is the value of x?

A: We can solve this as follows:

Q: What is the example of 3x3 matrix that has determinant 1

A: One of the properties of determinants is that the Determinant of an Identity matrix is 1

Q: Use Cramer’s Rule (determinants) to solve the system:

A: Given:x-y=-53x+2y=0AX=B1-132 xy =-50

Q: Explain how to evaluate a second-order determinant.

A: The second order determinant means the matrix is order 2×2 . Consider a matrix A=abcd . This matrix…

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

A: