3 -1 0 -2 4 7 14 3 A = 4 4 8 -2 -4 -8 -2 (i) find a basis for the column space, (ii) find a basis for the row space, (iii) find a basis for the null space, (iv) determine the rank, and the nullity of A. Justify your answer !!! 4+

Q: 8.) What is the distance between an airplane flying at 120 feet above sea level and a turtle…

A: We find the distance between an airplane flying at 120 feet above sea level and a turtle swimming at…

Q: -3 A -2 4)

A: Given,            A=-36-24To find : The inverse of the matrix.

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A: Here we need to show that columns of matrix A are linearly dependent or independent.We all know that…

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A: Given: A= 50-21 Now lets assume B=abcd

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A:

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

A:

Q: If A = Find the matrix 22A - 5(A + 2B) + 27B and B = B) 17. 151 -341 51 341

A: From the given problem:   A=3-52-4 ; B=-3516   22A-5A+2B+27B...1   So,   22A=223-52-4=66-11044-88…

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A: As A is a 4 x 5 matrix with 4 pivots so, it has a pivot in its every row. So, yes the columns of A…

Q: What is the rank of the matrix?

A:

Q: -1 1 1 -2. -2 8. -8

A:

Q: B- Find the matrix A :- 3. A + -5 4 1. -1 3.

A:

Q: Q1: Solve the set of equations using matrix: x+ 2y +3z = 1 y + 4z = 0 5x + 6y = 1

A: The given set of equations are…

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A:

Q: 3 0 A =|-3 7] 1 -1 2 4 91

A:

Q: 9. A = -2 2

A:

Q: * ( For the matrix shown find (- 3 A 3 - 1 4 1 A = %3D 1 1 6.

A:

Q: Find the range of a (2 × 3) matrix B with rank(B) = 2

A:

Q: Find the matrix A if 42 2 1 A : -1 3 %3D 1 3 A =

A: Given that, 21-13A=4213

Q: Solve using the method of undetermined coefficients: y" + 3y" – 10y' = 2 + xe* %3D

A: Given: y''' + 3y'' - 10y' = 2 + xex

Q: Determine the coefficient matrix A, the right-hand side vector b, and the augmented matrix, A of the…

A:

Q: Determine which of the points (-3, 1, -1), (5, 6, 4), and (6,-3, 3) satisfy the linear system 9x1…

A: Introduction: A collection of equations can be expressed using an expanded vector. Each entry in an…

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A:

Q: ging %3D

A:

Q: The rank of the matrix A Number 1 2 3 4 5 6 IS

A:

Q: Find an LU-factorization of the matrix : 4 1 2 5 1 2. 3 - 7 6 14 16 11 1

A: Recall: LU factorization by using Gaussian Elimination method

Q: the matrix A = and explain why or why not this matrix is diagonalizable

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Q: Determine the order of the following matrix: [[9,-5], [0,0]]

A: Order of the matrix is expressed as  Number of Rows X Number of Columns

Q: [2 Given that; a=1, b=2, c=0, d=1 Explain why the matrix a b c d is not diagonalisable.

A: Here the given matrix Let x be tha eigen value of A matrix Then

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A: An algebraic expression is obtained by combining numbers and variables together with arithmetic…

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A:

Q: Find matrix A, given that: :) 8. -2 2A-1 10 9.

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by 2 take inverse on…

Q: Find all values of a such that A3 = 2A, where   (see image of matrix)

A: Consider the given matrix,