Find the matrix of the linear transformation. Y1 6x1 +3x2- 7x3 Y2 9x1 +7x2- 7x3 %3D 9x1 + 7x2 + 8x3 Y4 4x1 + 3x2 - 3x3 Y2 Y3 Y4 5 S S S

Q: Find the LU decomposition of the following system of equation and then find the solution (x1, X2,…

A: Given system of equations can be written as Ax=b where x=x1x2x3 ; b=25-3and A43-5-2-45880.We have to…

Q: For the matrix shown , find the * determinate of (A) 2 A= 3 3 3 det ( A) = 4 a det ( A) = - 7 141

A:

Q: A is a 5x6 matrix, the range of transformation x->Ax must be IR^5. Is this true or False?

A: The answer is False.

Q: For the matrix shown, find the determinate * (of (A 3 A= 3 1 2 2 3 1,

A: The given matrix is A=2133-1-2231.

Q: z = xªy€ – 2x^y³ x = y = 8s3 a – The first digit of your matrix number c - The last digit of your…

A:

Q: Find the determinant of the standard matrix that results in the following transformation. (2,6)…

A: In the given transformation , vector (3,1) transforms to (-2,6)

Q: Find all (a) minors and (b) cofactors of the matrix.

A: Minors:

Q: For the matrix shown, find the determinate of (A) 1 A= - 1 3 1

A: Expand the given Matrix A along first row and simplify.

Q: Find all (a) minors and (b) cofactors of the matrix.

A:

Q: 4x+5y+4z = 8 3x+3y+ z =-9 5x+5y+2z = -1 Write the augmented matrix:

A: For a system of equations is a matrix of numbers in which each row represents the constants from one…

Q: For the matrix shown , find the determinate of (A) 1 3 A= 4 3 2 1 3

A: Topic : determinant of matrix

Q: * For the matrix shown , find the determinate of (A) 1 3 A= 4. 1 3

A: Given,            A=213043213

Q: Use the determinant of the coefficient matrix to determine whether the system of linear equations…

A: Given system of equations is We know that if determinant of coefficient matrix is nonzero, then the…

Q: Find the cofactors of the matrix -2 - 4 l1 2 3.

A:

Q: Use LU decomposition to determine the matrix inverse for the following system. Do not use a pivoting…

A: Consider the provided question,

Q: The value of x for which the matrix A = (, ) is singular is a. 0 b. 6 c. -6 d. 12

A: The correct option is C .i.e. -6 .

Q: Q3. Find the rank of the following matrix A by reducing it into echelon form: 1 2 1 3 A = 5 3 5 7 7…

A:

Q: -1 3 Q1: Given A = B = 5. 3 find the matrix X if 2xT-AB3D -2 1 -3

A:

Q: Find the value of a32 if matrix A is the transpose of matrix J. 1 A = Jt and J %3D 4 5

A:

Q: for the matrix        4    2  8 A= 4    3  6      3     2   3 What is the element in the third row…

A:

Q: -4x – y – 6z = -39 -9x + 7y + 4z = 47 – 7x – 6y + z = -52

A:

Q: Use the matrix method to solve the following system of equation: x + 2y + 3z = 4 2x + 4y + 5z = 0…

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

Q: Show that the equation of the line through points (a1, b1) and (a2, b2)can be expressed as the…

A:

Q: Find the negative of matrix. A] = { 0. [A %3D -3 8

A: Given that, the matrix is A=2045-38. Note that, the negative of the matrix A is -A.

Q: 5 -6 -1 10 2 5 1 -1 3 3 L1 3 (a) R₁ R₂ (b)-2R3 (c)-R₁ + R3 R3 Apply the given row transformations to…

A:

Q: Use the specified row transformation to change the given matrix. -4 1-5 - 2R2 + R3 3 1 4 10 5 3…

A: We need to do the matrix transformation and find the elements of the third row.

Q: Evaluate the ff. Given: A 1 -1 1 -1 2 3 2 0 y 1 1 -2 4 3 4 1 1 1 -1 find: a. Transpose of matrix A…

A:

Q: Use the determinant of the coefficient matrix to determine whether the system of linear equations…

A:

Q: Q4(a) Find a family of the matrices that is similar to the matrix 2. 3.

A: The given matrix Q is : Q=p-24-3 Consider a non singular matrix : A=1234 The similar matrix for Q=…

Q: Find the symmetric matrix that corresponds to the quadratic form q(x, y, z) = 3x² + 4æy – y² + 8xz

A:

Q: For matrix A below, make a change of variables that decouples the equation x' = Ax. Write the…

A: Given matrix is:  A=5-131 In the system y'=Dy, the matrix D is the diagonal matrix whose diagonal…

Q: (b) Find the Jacobian matrix ду əx where y [1+1+2+3 -x1x2x3 -[1+5+ = -B X2 I3 and x =

A: (b) Given y=1+x1+x2+x3-x1 x2 x3 and x=x1x2x3   To Find: The Jacobian Matrix ∂y∂x

Q: Write the augmented matrix form: a + 2b +c + d = 1 a - af – b + c - cf + 3d – df + ef2 +ef -2e – f²…

A: Given: The system of equations, a+2b+c+d=1 a-af-b+c-cf+3d-df+ef2+ef-2e-f2=-1 2a+4b+3c+3d-f=3…

Q: Use the determinant of the coefficient matrix to determine whether the system of linear equations…

A: The given system is,

Q: Find the standard matrix of the linear transformation. -y x + 4y бх — 2у

A:

Q: For the matrix shown, find the determinate * (of (A 2 A= 3 3 3 141

A: Expand the given determinant along first row.

Q: 1 2 The adjoint of the matrix A =|-3 1 2 0 %3D -2 is

A: Given : Matrix A = 120-31-2201   To find : Adjoint of the given matrix?

Q: Take the system æ' = 10x? + 10y2 + 9xy, y' = e10x + 10y?. The Jacobian matrix is help (formulas)…

A:

Q: Determine the 2 x 2 matrix that represents the reflection along the line y = -V3x. Use this matrix…

A: As per the question first we have to construct the transformation matrix which reflects any point on…

Q: Q3 (b): Find an LU decomposition of the matrix -6 31 -7 2 A =

A: Given matrix is A=3-636-72-170 Find an LU decomposition of the matrix

Q: The figure shows the flow of traffic (in vehicles per hour) through a network of streets. 400 600 X2…

A: a. Redraw the given figure as  follows, From the above figure,  The equation for the point A:…

Q: Give the 4x4 matrix that rotates the points in R about the z-axis through an angle of -30°, and then…

A: We have to find the 4×4 matrix that rotates the points in R3 about the z-axis through an angle of…

Q: Determine whether the statement is true or false. If the statement is false, make the necessary…

A: Given:x-3y=5y-2z=72x+z=4

Q: G1/ Find A of the matrix 3. - 1 6. 3. %3D 2. - 4 2.

A:

Q: Find all (a) minors and (b) cofactors of the matrix.

A: Minors and cofactors of a 2×2 matrix as abcd is defined as follows: Minor of a=dMinor of b=cMinor of…

Q: Find the matrix of a linear transformation that would take the line 2x -5y = 0 to 7x -3y = 0

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.