Find the vector, not with determinants, but by using propertles of cross products. (1 x ]) x k Watch it

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

A:

Q: Using the Gauss Method, or what we refer to as the Elementary Row Operation, get the determinant of…

A:

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

A:

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: Use a determinant to find an equation of the plane passing through the points. (0, 0, 0), (1, 0, 3),…

A:

Q: Using the bisection method, find the numberz, with an absolute error less than 10 3 that makes the…

A: Given, x1234x5678x9101112x=10000.  To find the value of x using the bisection method so that the…

Q: By evaluating the determinants, verify the addition rule for the 2 x 2 case: a12 a22 la21 a22 la21…

A: Determinate

Q: Show that y = e", y = e2" , y = x and y = x² are linearly indepent functions %3D Hint: Use the…

A: To show y=ex,y=e2x,y=x,y=x2 are linearly independenr we are going to provethat the workian is…

Q: Consider four row vectors u, u, w, z of size 1 x n each and let a, bER Then. by multilinearity of…

A: The given statement is

Q: Evaluate the determinants to verify the equation.

A:

Q: Find the determinant of the vector A = 2i+ 5j + 6k and B = 8k

A: determinant is nothing but finding the cross product. so, determinant of two vectors A and B = A×B

Q: 1.What is the definition of the cross product?2. How is the determinant of a 3 × 3 matrix used in…

A:

Q: 2 y" + 8y = sec 2x

A:

Q: Find the vector, not with determinants, but by using properties of cross products. (i x j) x k

A:

Q: Evaluate the determinant using laplace expansion.

A: We evaluate the given determinant using laplace expansion:

Q: Use properties of determinants to show that the following is an equation of a line through the…

A: Consider the provided matrix, xy1x1y11x2y21=0 Use properties of determinants to show that the…

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

A: Given vectors: u=3-12,  v=011

Q: c. Given that the vector à = a,î + azĵ + azk and b = b,î + b2ĵ + bzk. Show that the vector product…

A: Given:     a→=a1i+a2j+a3k     b→=b1i+b2j+b3k  The vector product of two vectors  a→=a1i+a2j+a3k and…

Q: Use the determinant formula for the area of a triangle to find the area of the triangle in the…

A: Here, x1y1, x2y2, x3y3 are 31, -13, -2-2

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

A: We have given the matrix;

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: Can cramer's rule be used to solve this %3D 5 or no? IH vesi unith the determinants used to compute…

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: Use the theorem for three linearly independent vectors (that is, calculate a determinant) to…

A: We will evaluate the determinant. Note : if the determinant is non-zero then the vectors are…

Q: Compute the determinants using cofactor expansion along the first row and along the first column.

A: Now co factors of first row are

Q: Find the vector, not with determinants, but by using properties of cross products. k x (i - 2j)

A: The product of the vector helps to find the required product. The answer to the product is whereas…

Q: For the matric A find - The Determinant A (|A|). The Co-factor matric of A (Acof). - Where [-4 291…

A:

Q: Using the properties of determinants, prove that : 1 1 1 = (a – b)(b - c)(c - a)(a + b + c) a' b' c'

A: The solution to the given question is explained below.

Q: Express the determinant in the form ai + bj + ck for real numbers a, b, and c.

A: Given determinant: ijk4-62-23-1

Q: Evaluate the determinants D,Dx,Dy, and Dz.

A:

Q: Use the theorem for three linearly independent vectors (that is, calculate a determinant) to…

A: Here it is given that u ,v ,w  Find it is u, v, and w are linearly dependent or independent.

Q: Express the determant expression of a 3 X 3 matrix using cofactor and minor, Using this, try to…

A:

Q: Szdx = 3{F+c true False O The determinant of the apper trigonometric matrix is equal to the…

A: we will solve the integral                                      We know,  ∫ xn dx  = xn+1  + c , c…

Q: If A is orthogonal, show that its determinant is equal to ±1.

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: eterminants of the i) using the "diag

A: Introduction: Let us suppose that A=ABCDEFGHI, Then determinant by the diagonal method is given by,…

Q: Find the volume of the parellepiped spanned by the three given vectors à, v and w (hint: use a…

A: The volume will be u.(v×w), the cross product will br applied be the determinant.

Q: Use properties of determinants           (          attaached   ) to prove the given property of the…

A: Givenu=u1u2u3, v=v1v2v3. and w=w1w2w3To showu·(v×w)=detu1v1w1u2v2w2u3v3w3.

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: For the matric A find - The Determinant A (|A|). The Co-factor matric of A (Acof). Where T-4 2 -9]…

A: Given :A=-42-93411-32

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: Find the determinant of the mattrix. 3.

A: Given:- the matrix 0733To find: determinant of the matrix

Q: Find the values of λ for which the determinant is zero.

A: Given: λ+221λ for finding value of λ, where given determinant is zero we expand given determinant…

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

A: Let…

Q: Let A= (aj) and B = (b;) be the square matrices of order 3 such that bj = 3i+j aj for 1si,j< 3. If…

A: The given question can be solved as shown in step2.

Q: Expand the determinant of B by the second column and evaluate the occuring algebraic subdeterminants…

A:

Q: Use the determinant version of the cross product to compute. u X (v + w) = u X v + u X w

A: u×(v+w)=(u×v)+(u×w)