Which is NOT TRUE about Finite Difference Method (FDM)? Select one: O a. In FDM, we need to transform the system of linear equation which we get from discretization process into tridiagonal matrix. O b. The tridiagonal matrix in FDM is solved by using Thomas algorithm. O c. In FDM, the second order ODE with BVP needs to be written in general form y"+p(x)y'+q(x)y=r(x) O d. In FDM, the general form of second order ODE with BVP is solved by using Euler method.

Q: Let A be a 5 x 5 matrix with det(A) = -10. 1. If the matrix B is obtained from A by adding 4 times…

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Q: Use LU decomposition to determine the matrix inverse for the following system 10х, + 2х, — хз%3D27…

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Q: Derive a composite matrix that transforms a square ABCD with coordinates A(0,0), B(1,0), C(1,1),…

A: As per the question we have to find the affine transform which will transform the points A,B,C,D…

Q: Multiply the 4 by 4 matrix T for translation along (1, 4, 3) and the matrix T 1 for translation…

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Q: If matrix A is 12 xc and matrix K is 4 x t, their product AK is r x 7, what are the values of c, t,…

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Q: Write B as a linear combination of the other matrices, if possible. (If not, enter DNE in all…

A: This problem is related to the vector algebra. The problem is solved in the following image.

Q: Find a 3 by 3 matrix that scales the point (x,y,z) by 2 in the x direction and 4.5 in the direction,…

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Q: 6. Find the matrix of the quadratic form. Assume x is in R³. a. 3x} – 2x3 + 5.x + 4x1x2 – 6x1X3 b.…

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Q: Perform elementary row operations to transform the matrix [2 3] 5 6 into the identity matrix.

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Q: Create a world transform matrix that translates by 3, 5, 7 and rotates 80° about the x-axis.

A: Detailed explanation mentioned below

Q: -1 -1 | | 4. For the semidefinite matrix A = -1 2 -1 write x' Ax as a -1 -1 sum of two squares.

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Q: Suppose A is a 8x4 matrix such that rank(A) = 3. Find dim(col(A)-). dim(col(A)+) =

A: To find: dimcol(A)⊥ Given information: A is 8×4 matrix such that rank(A)=3. Concept used:…

Q: Find the 3x3 matrix that induces the described action on R3. Rotates the xy plane by 30 degrees,…

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Q: Find a 2 by 2  matrix that scales the point (x,y) by 0.5 in the x direction and 3 in the y…

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Q: Place the smallest number of zeros in a 4 by 4 matrix that will guarantee det A = 0. Place as many…

A: In linear algebra, the determinant of a matrix is a scalar value that provides important information…

Q: Exercise 51. Is there a square matrix X with real entries such that det(X¹X) = -3?

A: detXTX=-3 X is a square matrix with real entries.

Q: Set up the matrix which will perform the following transformation and write down its character. (x…

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Q: ind the 3x3 matrix that is equivalent in it's action to each of the

A: Given: To find 3×3 matrix that  equivalent to the symmetry operators are, a  S^2zb  C^2z

Q: For the​ matrixA=daig(-2,-1,2), put the following values in increasing​ order: det(A),​ rank(A),…

A: Given the matrix A=daig(-2,-1,2) is diagonal matrix Therefore the eigen values of A are -2, -1, 2.

Q: Find the 3x3 matrix that induces the described action on R3. Rotates the yz plane  by 45 degrees,…

A: We have to find 3×3 matrix that rotates the yz plane by 45 degrees and reflects the x-axis.

Q: Let matrix A = 1 1 1 3 2 1 −2 3 1 (a)Find two distinct row echelon forms of A. (b) Find the…

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Q: Let B=[0000]. Find a non-zero 2×2 matrix A such that A^2=B. A= ? Hint: Let �=[����] and then set…

A: The given matrix is; B=[0 0      0 0 ]A2=BFind the matrix A.

Q: 6. Let A be a 2x 2 matrix such that (a) The above equations can be written in the form A -1 0 -1 0 B…

A: The objective is to find the matrix B. heck whether the matrix B is diagonalizable or not and also…

Q: Write f= x + 10x1x2 + x3 as a difference of squares, and f= x? + 10x,x2 + 30x as a sum of squares.…

A: Given f=x12+10x1x2+x22.  Let the associated matrix of f be A=abba is 2×2 symmetric matrix. Then,…

Q: The intrinsic variables of the Keynesian type national income model in the midterm exam given below…

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Q: How would I write the following 2 functions in matrix notation? Q(h) = (h, 2h, 3h) F(x, y, z) =…

A: We have to write the function as matrix notation. The given function is Q(h) = (h, 2h, 3h) Clearly,…

Q: Suppose that 2 3 Solve the linear system Ax = b for each of the following matrices b: 8 (b) 15 (a)

A: Given: A-1=1213 (a) Ax=bx=A-1b Substitute the respective values. x=121346=4+124+18=1622 Therefore,…

Q: 2 A= 2 4 3 一 1 -2 1 (i) Find A by using cofactor method. (ii1) Find (4) by using adjoint matrix. 19

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Q: Derive the matrix that performs the following consecutive transformations (in augmented form): 1-…

A: (1) Let T be a transformation that translate 2- unit along x-axis. Therefore: Txyz=x+2yz Therefore…

Q: X1+ X2 + 2X3 — 5Х4 %3D 3 - 2X1 + 5X2 – X3 – 9X4 = -3 2X1+ X2 — Хз — 3Х4 %3D —11 X1 – 3X2 + 2X3 + 7X4…

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Q: Example 4: Find the matrix that can cause widening by 4 in the direction of the X-axis and deflation…

A: Matrix is widened by 4 in X-axis and is deflation by 0.25 in Y-axis.

Q: You need to rotate point bP1=n [10 10 0] 60 degrees on the X axis and 10 units on the Z axis. Write…

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