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In exercises 9 - 18 determine if the columns of the given matrix A span the...
question 9. find the eigen value and vector Exercises 3.7 In Exercises 1-12, determine the e-values 4 e-vectors. [ 3-2 4] 5.4-[ -[] 7.1-3, . T 3 -1-1] [i 1-1] [1 1 -2] (9. A = -12 0 5 10. A = 10 2 -1 11. A= 0 2 -1 L 4-2-1) Lo o i Lo o 1 In Exercises 13-18, use condition (5) to determine whether the given matrix Q is orthogonal. 6 67
1, 5, 7, 9, 11 For each matrix A in Exercises 1 through 13, find vectors that span the kernel of A. Use paper and pencil. 1. A = 2 2. A = [1 2 3] 3. A = [08] 4. A=(: & 5. A= ſi 1 11 1 2 3 [1 3 5 6. A= [1 1 [1 2 1] 3 7. A= 8. A= ſi 231 1 3 2 13 2 si 17 1 2 1 1 [1...
[4 2. Explain why the columns of an nxn matrix A span R" when A is invertible. Do not use any results from text section 2.3.
10) (4 points) Explain, without calculating the determinant, why the columns of the following matrix do not span Rº: (a, b, 2a, + 3b, a z za₂ + 3b₂. a, by 22, + 3b,] 11) (3 points) Write the vector | 7 as a linear combination of the vectors 11.01.& O 1 1 (1 L-2
C# 1. Given two lengths between 0 and 9, create an rowLength by colLength matrix with each element representing its column and row value, starting from 1. So the element at the first column and the first row will be 11. If either length is out of the range, simply return a null. For exmaple, if colLength = 5 and rowLength = 4, you will see: 11 12 13 14 15 21 22 23 24 25 31 32 33 34...
please answer both questions thank you! How many rows and columns must a matrix A have in order to define a mapping from R into R by the rule T(x) Ax? Choose the correct answer below OA. The matrix A must have 7 rows and 7 columns. O B. The matrix A must have 9 rows and 7 columns OC. The matrix A must have 9 rows and 9 columns O D. The matrix A must have 7 rows and...
B is the coefficient matrix = 1 4 1 20 1 3 -40 2 6 72 9 5 -7The part of the question that confuses me is the part that asks if the columns of B span R3 or not because I am only sure of R4.
explanation too Problems 7-11: The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. State the solution in vector parametric form. In your augmented matrix, draw a vertical line that represents the equal sign, label all columns of the augmented matrix, and before each new row, write the operations that give you that new row and show the scratch work on the same page...
In exercises 9-18 apply elementary equation operations to the given linear system to find an equivalent linear system in echelon form. If the system is consistent then use back substitution to find the general solution. See Method (1.11) and Method (1.1.2) 4x + 3y + z = 0 3x + 2y + z = -2 10. 3x-5y + 2z =-1
In exercises 21-24 the given matrices are in reduced row echelon form (check this). Assume each matrix corresponds to a homogeneous linear system. Write down the system and determine the general solution. See Method (1.2.2) and Method (1.2.4). 21. 1 0-1 3 0 2 -2 23 1 0 0 0-1 0010-3 0001 4/