If B = then the determinant of B~1 is_ - (use property) a. 2 d. b. 10 с. 0.5

Q: Compute the determinant ofby using row operations to obtain upper triangular form.

A: Given matrix - A = 12100123-20-1-1300-1Let's first convert it into upper triangular matrix using row…

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

A: Here given

Q: Prove the identity without evaluating the determinant (Using properties). a1 b1+ tai ci+rb1 + sa1|…

A: Use the below properties of the determinant. 1) The determinant remains unaltered if its rows are…

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: Suppose that a 4 x 4 matrix A with rows v1, V2, V3, and v4 has determinant det A = 1. Find the…

A:

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: Prove the identity without evaluating the determinant (Using properties). a1 b1 + tai ci+rb1+ sa1 a2…

A: Some properties to be used are. (1) Adding or subtracting a multiple of a row(column) to another row…

Q: What is the determinant of 1 2 3 4 5 6 ? 7 8. 9.

A: Wevhave to determine of Matrix....

Q: Compute the determinant of the matrix by expan

A: Given,              429529774

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

A:

Q: According to determinant properties, when two rows are interchanged then signs of determinant Must…

A:

Q: Prove the identity without evaluating the determinant (Using properties). ai b1 + tai c1+ rb1 + sa1…

A: Note the following properties of determinant : Property 1 : If any two rows (or columns) of any…

Q: When finding the determinant using cofactor expansion, it is necessary to select the row or column…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

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: 7. find the determinant of the following matriz : 15 -2 4 -5 -3 6 6 -7]

A: # we are entitled to solve one question at a time, please resubmit the other question of you wish to…

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

A:

Q: Prove the identity without evaluating the determinant (Using properties). a1 bi + tai ci+rb1 + sa1…

A: We have to prove the identity…

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

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

Q: Use a determinant to find the area of the triangle with th- (-6, 0), (6, 0), (0, 3)

A:

Q: Prove the identity without evaluating the determinant (Using properties). a1 b1+ tai c1 + rb1 + sa1…

A: Let,  A=a1a2a3b1b2b3c1c2c3 Now, det A=a1a2a3b1b2b3c1c2c3         ~a1b1c1a2b2c2a3b3c3  (because the…

Q: Find the Determinant 4. - - ad - bc -2 8. 2) [, det %3D -4 ad - bc Determinant 3D

A: 84-4-2

Q: True of False Choose True if the statement is correct, otherwise False. 1. Suppose a matrix A has…

A: 1.Let us consider a matrix:A=123111001Now,detA=123111001=1[1-2]=-1

Q: Use a determinant to find the area of the parallelogram with the given vertices. (0, 0), (2, 0), (2,…

A: On solving , we get

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

A: We have use the matrix property

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

A:

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

A:

Q: Prove the identity without evaluating the determinant (Using properties). a1 b1 + tai c1+rb1 + sa1…

A: Consider the LHS=a1b1+ta1c1+rb1+sa1a2b2+ta2c2+rb2+sa2a3b3+ta3c3+rb3+sa3. Use the sum property of…

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: 2 .Compute the area of the parallelogram determined by u, v, u+ v, and 0, and compute the…

A: We know that the area of a parallelogram is = base * height

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

A: Solution: The determinant of identity matrix

Q: 3279 5 3 6 -5 5-3 -16 9 -6 27 -12 25

A: Given: 3526235-575-3-169-627-12 To prove that the determinants are the same using at 2 rows in Co…

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

A:

Q: Use determinants to solue the Syestu 2xt 3y-z=| X ty-z =0 5x-y-az=1 what ais the determinent of…

A:

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

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

A: y=e2x(c1cosx+c2sinx)

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: Use determinant to find out, if the matrix is invertible. 2 1 -7 -5 0 3 8 6.

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

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

A: