I) Calculate the fo Plowing determinants (show your wark): la) a-b atb 2 -- latb a-bl le) 2t 2t-1 id) 4 5 -5 4 ( DDD -11 - 2 20

Q: Compute the determinants using cofactor expansion along any row or column that seems convenient

A:

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 determinant version of the cross product to compute u X v.

A: The given vectors are u=011, and  v=3-12 The objective is to find the cross product of the vectors u…

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: 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: Q1/ The Volume of box that determinate by A=(-i-3k) , B= (-4j+2i-3k) and C=(8i-3j+2k) ?will be 23…

A: Solved below

Q: 4 Calculate the following determinants by elementary actions: 1 2 3 4 5 la+c b 1 c 2 3 4 5 6 1 b…

A: This is a problem related to determinant.This is lengthy/complex problem so I am doing it in…

Q: 12 10 312 4 3 1

A:

Q: Find the value of the unknowr X2 of the system give below using Cramer's rule and row reduction…

A:

Q: Compute the determinants using cofactor expansion along any row or column that seems convenient

A:

Q: Use expansion by cofactors to find the determinant of the matri: 4 20 0 6 0 1 2 4 5 0 0 35 4 0 0 6 3…

A:

Q: (4) Use determinant to find the area of the triangle with vertices (0, 0), (x1,Yı), and (x2, Y2) in…

A:

Q: a) By using the property of the determinants prove that 1 + a? - b2 2ab -2b 1- a? + b? = (1 + a? +…

A: By using the properity of determinats prove that :

Q: a;jA = Aô;*, Show that where A is a determinant of order three and A" are cofactors of a.

A:

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

A:

Q: Show without computation that the following determinant is equal to zero. Hint: Consider the effect…

A: we have to show without computation that the given determinant is equal to zero. the given…

Q: Use the determinant version of the cross product to compute u X v.

A: Given vectors: u=3-12,  v=011

Q: Use the determinant version of the cross product to compute u X v.

A: Solution: Consider the two vectors a = a1i + a2j + a3k and b = b1i + b2j + b3k and their cross…

Q: Prove WITHOUT using the product property of determinants: If M, N are triangular matrices, |MN| =…

A:

Q: 2. Use row/column operations and properties of determinants to show that (Do not expand using…

A:

Q: Consider the following points. (3.5, -4), (2, 0, -5), (0, 6, -2). (-1, 1, -3) Set up and evaluate a…

A: Given: (3, 5, -4)    ,    (2, 0, -5)  ,   (0, 6, -2)    ,   (-1,1,-3)

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: (c) 0 is neither diagonalizable nor

A:

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: Consider the following points. (3, 5, -4), (2, 0, -5), (o, 6, -2), (-1, 1, -3) Set up and evaluate a…

A: Given data points (3, 5, -4), (2, 0, -5), (0, 6, -2), (-1, 1, -3) to check whether they are coplanar…

Q: The volume of a parallelepiped having A, B and C as edges can be obtained by finding the determinant…

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: Assuming that 495 divides 273x49y5, obtain the digits x and y. Determino the

A: Consider the given information: 495 divides 273x49y5 To find the digits x and y.

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: aust.mrooms.net/mod/quiz/attempt.php?attempt3D195962&cmid=D101445&page=10 Question 11 Not yet…

A: The solution is given as follows :

Q: * Suppose the mbrxP. 4x4 peraubibun mabrx with even numberof permutahion, Find bhe maxinum…

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: Use a determinant to decide whether the matrix is singular or nonsingular. 1 3 4 2 2 4 3 3 1 1.…

A:

Q: Given that the vector å = a,î + a2j + azk and b = b,î + b2j + b3k. Show that the vector product of å…

A:

Q: 2. Use row/column operations and properties of determinants to show that (Do not expand using…

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: By calculating AB and evaluating the determinants, verify that det AB = det A det B a12 b12 for the…

A:

Q: If B is a non singular 2x2 matrix and k is a non zero scalar. What is the determinant of B

A:

Q: Use the determinant version of the cross product to compute. u X v.

A: Let two vectors u and v: u=u1, u2, u3v=v1, v2, v3 For cross product of these two vector by…

Q: Determine the Determinants of mat A * 1 -2 3 mat A = | 7 8. 1 -3 -9 -10]

A:

Q: Ja + b а а a + b — b? (За + b) а а %3D а а + bl а

A: Let…

Q: 7.0 4 -1 8.0 |4 7 3 -2 2 8 -3 5 -5 2 -1 0 -2 2.

A:

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

A:

Q: Compute the determinants using cofactor expansion along any row or column that seems convenient

A: Given 11-12013-21.

Q: B(4,7) Cl9,5) 4 3 JA(1,2) 2 3 5 6 1 8 9

A:

Q: Compute for Determinants of Matrix -3 mat C = 8. -5 5 5 5 -3

A: C=-33-18-5-755-3