Supply a third column so that the matrix will be orthogonal: V5/5 2/3 2/5/5 -1/3 2/3

Q: For the matrix A, find (if |

A: Given,          A=2-250  3-20-12

Q: Find two different 2x2 matrices A and B such that AB = BA. %3D --. .. (Use a comma to separate…

A:

Q: Find A by transforming the columns of the identity matrix, e, and ez. 1 0 1 12 0 1 e1 e2 1 Reflect…

A: The transformation matrix A is, 0 1 1 0

Q: Find a 2 by 2 matrix that reflects the point (x,y) abot the x axis?

A:

Q: The adjoint of the matrix (−3−2−1−1) is

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Q: Let A be the matrix Compute A50

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Q: Find the determination of matrix:- 1 B 2

A: Part (A) - Given matrix - A = 215-1031-24Determinant of matrix A - A =…

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,…

A:

Q: Determine the matrix that produces the pair of rotations.60° about the x-axis and then 60° about the…

A: Letxyz be a vector'R' be a rotation matrixThe position of the vector after rotation is = Rxxyz(i)…

Q: Find inverse of matrix A by using elementary row operations where 1 0 - 2 A = 3 1 -2

A: Consider the provided matrix, A=10-2   31-2   -5-19 Find the inverse of the matrix. First, we write…

Q: The nullspace of a 5 by 5 matrix contains only x = 0 when the matrix has ___ pivots. The column…

A:

Q: Let A = ; 1.B - : J.c= , ], anc 2 37 ol.c = [ 1 and v = |1. What is the sum of the entries of the L4…

A: Note: We know that for matrix P of order m*n and Q of order n*t, the multiplication PQ is possible…

Q: Find a 2x2 matrix that forms an angle of n/3 cadians with the matrix P -- (: 9) 2 0 0 2

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Q: * For the matrix shown, calculate - 1 1 6 3 4 1 2A , where A = 1 3

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Q: Due to what property, applied to the matrices and scalars below, do we know that (cd)A = c(dA)?

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Q: Find a matrix A to safisty the following equation: -1 (AT – 5 2 3 1

A: to find the inverse of 2*2 matrix, the formula is

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

A:

Q: Determine the matrix that produces the pair of rotations.30° about the y-axis and then 45° about the…

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Q: Find inverse matrix A by using adjoint method where 1 2 3 4 15 6 0 2 A =

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Q: Calculate the two matrix products R1A-1, R2A-1.

A:

Q: 7x + 8y 2 = 46 x - 3y 8z = -53 -2の+y+z=

A: Given the system,   7x+8y-z=46  x-3y-8z=-53-2x+y+z=1 We have to find the x,y,z using Reduced Echelon…

Q: Find values for the variables so that the matrices are equal.

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Q: Solve for x, y, z, and win the matrix equation (X, Y, Z, W) wx 2 {]+=[xx]-

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Q: If the rows of an n X n matrix A are linearly inde­pendent as vectors in Rn, what is the rank of A?…

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Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) 5 11 1 6 15…

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Q: Perform the elementary row operation R2 → R3 to matrix B to obtain matrix C. -1 0 0 01 1 2 4 2 -2 A…

A: Our Aim is to perform the elementary row operations R2↔R3 to the matrix given below:-

Q: Find the matrix A (in terms of B, C, and D) if (4DA-'B )-1 = C

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Q: Make yourself familiar with the alternative notations. What is the simplest way to describe the…

A: We have to find out the simplest way to describe the product of A and v. The matrix A is given, that…

Q: The matrix X1 X = is called a vector.

A: We have to find

Q: ge multiplies to find the dimensions of a rectangular box with the largest volume if the total…

A: We have to find the dimension of given rectangular box.

Q: Perform the elementary row operation R, – 2R3 → R4 to matrix C to obtain matrix D. -1 0 0 0j 2 -2 1…

A: Our AIm is to perform the elementary row operation R4-2R3→R4in the matrix given below:-

Q: Find the matrix P that multiplies | y| to give P = א א

A:

Q: In what direction does f(x) = 2xy – 7x increase most rapidly at (6, - 2)? %3D V f(6, - 2) = (Type an…

A: Given query is to find the direction of moast repid increament.

Q: The rank (i.e., the number of pivots) of the matrix 1 1 -1 3 4 -1 5 6 -3 1 2 1 is

A: (11).  The given matrix is: A=11 -134 -156 -312     1

Q: How many pivot columns must a 5 x 7 matrix have if its columns span R5? Why?

A: Note the following facts : Number of pivot column is same as rank of the matrix. If order of the…

Q: Supply a third column so that the matrix will be orthogonal: V5/5 2/3 2/5/5 -1/3 0 2/3

A: The given question is related with orthogonal matrix. Given the matrix ,…

Q: Use the definition of Ax to write the vector equation as a matrix equation -2 + Z2 - 5 3 +Z4 2 4 Z1…

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Q: Consider the matrix A and the vectors p and q. 1 -3 9. A = -3 0 p= -6 | q = | -9 2 4

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Q: Use the given row transformation to change the matrix as indicated. :-2 times row 1 added to row 2…

A: Dear student, as per our rule in one session we can only solve one question. Please post the other…

Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) [39] 163-

A: find the inverse of matrix= 30   04

Q: Either the row vectors or the column vectors of a square matrix are linearly independent. True False

A: Any row vectors or column vectors of a square are said to be linearly independent if…

Q: Consider the matrix

A: Given, the matrix                    A=1-101-1121-141-10-112-2042-282-2

Q: Express the quadratic form as v Av, where A is a symmetric matrix. x² + 3y² + 5z² - 4xy+3yz + 10xz

A:

Q: Find the 3 × 3 matrix that produces a translation by (8,7) followed by a reflection through the…

A:

Q: Given the cofactor of matrix A, What is the adjoint of A?

A: Adjoint matrix is the transpose of cofactor matrix.

Q: Find the matrix P that multiplies (x, y, z) to give (y, z, x). Find the matrix Q that multiplies (y,…

A: The matrix “P” will be, P=010001100  if multiplies (x,y,z) to give (y,z,x) Explanation:…

Q: Determine whether the matrix B = is awesome or not. %3D

A: 7.1 To determine whether the matrix B is awesome or not. Where  B=i2−3232−i2and B is awesome if…

Q: Find a 2x2 matrix that forms an angle of n/3 radians with the matrix P 2 0 p = 0 2

A:

Q: How many pivot columns must a 7 x 5 matrix have if its columns are linearly independent? Why?

A: Consider A be the matrix of dimension 7×5. If the columns of A are linearly independent, then the…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.