Question

Which of the following subsets of M_(2x2) the space of 2x2 matrix are linearly independent? A....

Which of the following subsets of M_(2x2) the space of 2x2 matrix are linearly independent?

A. [1,3;0,2]

B. {[2,4;0,-2],[3,6;0,-3]}

C. {[1,3;0,2],[2,4;-2,3],[0,-2;-2,-1]}

D. {[1,3;0,2],[4,3;-3,1],[-5,2;1,3]}

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. Find the orthogonal projection of the matrix [[3,2][4,5]] onto the space of diagonal 2x2 matrices...
1. Find the orthogonal projection of the matrix [[3,2][4,5]] onto the space of diagonal 2x2 matrices of the form lambda?I.   [[4.5,0][0,4.5]]  [[5.5,0][0,5.5]]  [[4,0][0,4]]  [[3.5,0][0,3.5]]  [[5,0][0,5]]  [[1.5,0][0,1.5]] 2. Find the orthogonal projection of the matrix [[2,1][2,6]] onto the space of symmetric 2x2 matrices of trace 0.   [[-1,3][3,1]]  [[1.5,1][1,-1.5]]  [[0,4][4,0]]  [[3,3.5][3.5,-3]]  [[0,1.5][1.5,0]]  [[-2,1.5][1.5,2]]  [[0.5,4.5][4.5,-0.5]]  [[-1,6][6,1]]  [[0,3.5][3.5,0]]  [[-1.5,3.5][3.5,1.5]] 3. Find the orthogonal projection of the matrix [[1,5][1,2]] onto the space of anti-symmetric 2x2 matrices.   [[0,-1] [1,0]]  [[0,2] [-2,0]]  [[0,-1.5] [1.5,0]]  [[0,2.5] [-2.5,0]]  [[0,0] [0,0]]  [[0,-0.5] [0.5,0]]  [[0,1] [-1,0]] [[0,1.5] [-1.5,0]]  [[0,-2.5] [2.5,0]]  [[0,0.5] [-0.5,0]] 4. Let p be the orthogonal projection of u=[40,-9,91]T onto the...
Find an example of a nonzero, non-Invertible 2x2 matrix A and a linearly independent set {V,W}...
Find an example of a nonzero, non-Invertible 2x2 matrix A and a linearly independent set {V,W} of two, distinct non-zero vectors in R2 such that {AV,AW} are distinct, nonzero and linearly dependent. verify the matrix A in non-invertible, verify the set {V,W} is linearly independent and verify the set {AV,AW} is linearly dependent
. Enlarge each of the following linearly independent subsets T of R5 to a basis B...
. Enlarge each of the following linearly independent subsets T of R5 to a basis B for R5 containing T : (a) T {[1,3, 0, 1, 4],[2, 2, 1,3, 1]} (b) T {[1, 1, 1, 1, 1],[0, 1, 1, 1, 1],[0, 0, 1, 1, 1]} (c) T {[1, 0,1, 0, 0],[0, 1,1, 1, 0],[2, 3,8,1, 0]}
Which of the following sets are linearly independent? A. { (1, 0) , (1, 1) ,...
Which of the following sets are linearly independent? A. { (1, 0) , (1, 1) , (1-1) } in R2 B. { (1, 1, 1), (1,-1, 1), (-1, 1, 1) } in R3 C. { 1 + x, x, 2 + 3x } in P2 D. { [1 1 , [1 1         0 0] , 0 1] } in M22 Select from the following: 1. Only A and C. 2. Only B. 3. Only D. 4. Only B and...
1. Two dice are rolled. There are 36 possible outcomes, the sample space is: (1,1) (1,2)...
1. Two dice are rolled. There are 36 possible outcomes, the sample space is: (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) A = ‘second roll is a 6’ B = ‘sum of two dice equals 7’ C = ‘sum of two dice equals 3’ a. What is P(B|A)? b. What is...
Question 1: Roll two fair dice. Then the sample space S is the following. S =...
Question 1: Roll two fair dice. Then the sample space S is the following. S = (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) Let E be the event that the sum of the dice is odd, let F be the event that the first die lands on 1, and let G...
Decide whether the following set of vectors are linearly independent or dependent. Justify the answer! a)...
Decide whether the following set of vectors are linearly independent or dependent. Justify the answer! a) In R^3: v1=(0,2,3), v2=(3,-1,4), v3=(3,2,2) b) In R^3: u1=(1,2,0), u2=(2,1,3), u3=(4,2,-1), u4=( 2,1,4) c) In Matriz 2x2: A= | 1 6 | B= | 1 4 |    C= | 1 4 | |-1 4 |,    | 3 2 |,    | 2 -4 |   
Let a ∈ R. Show that {e^ax, xe^ax} is a linearly independent subset of the vector...
Let a ∈ R. Show that {e^ax, xe^ax} is a linearly independent subset of the vector space C[0, 1]. Let a, b ∈ R be such that a≠b. Show that {e^ax, e^bx} is a linearly independent subset of the vector space C[0, 1].
2. Consider a ten-sided die of which the sides display the numbers 1, 2, 3, and...
2. Consider a ten-sided die of which the sides display the numbers 1, 2, 3, and 4 according to this table: side of die 1 2 3 4 5 6 7 8 9 10 number displayed 1 1 1 1 2 2 2 3 3 4 Rolling two such dice is an experiment with the sample space S =       (1,1) (1,2) (1,3) (1,4) (2,1) (2,2) (2,3) (2,4) (3,1) (3,2) (3,3) (3,4) (4,1) (4,2) (4,3)...
Find general solutions of the following systems using variation of parameters. X ′ =(2x2 matrix) (...
Find general solutions of the following systems using variation of parameters. X ′ =(2x2 matrix) ( 2 2; 3 1 ) X + (column matrix) ( e^−4t; 0 )
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT