Suppose that B is a 12 × 9 matrix with nullity 5. For each of the...

Suppose that B is a 12 × 9 matrix with nullity 5. For each of the following subspaces, tell me their dimension, along with what value of k is such that the subspace in question is a subspace of R k . (For example, a possible – though incorrect – answer is that Col B is a subspace of R 2 .) So, you’ll need eight answers for this problem (two answers for each of the four parts). • Col B • Null B • Row B • Null BT

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Colby Messinger answered 2 years ago

Given the matrix 7 7 -4 12 -5 A = 9 10 2 6 13 8 11 15 4 1 3. a. Sort each column and store the result in an array B.

Given the matrix a. Sort each column and store the result in an array B.b. Sort each row and store the result in an array C.c. Add each column and store the result in an array D.d. Add each row and store the result in an array E.

Suppose the system AX = B is consistent and A is a 6x3 matrix. Suppose the...

Suppose the system AX = B is consistent and A is a 6x3 matrix. Suppose the maximum number of linearly independent rows in A is 3. Discuss: Is the solution of the system unique?

Suppose Footlocker’s Inc. Will pay dividends of $ 5, $7, $12, $9 for first four years...

Suppose Footlocker’s Inc. Will pay dividends of $ 5, $7, $12, $9 for first four years respectively. Then it grows at the rate of 11 percent for next three years. Then it grows at the rate of 6 percent for next three years. What value you will place on this stock if investor requires nine percent return over the period? type the answer

.Suppose Footlocker’s Inc. Will pay dividends of $ 5, $7, $12, $9 for first four years...

.Suppose Footlocker’s Inc. Will pay dividends of $ 5, $7, $12, $9 for first four years respectively. Then it grows at the rate of 11 percent for next three years. Then it grows at the rate of 6 percent for next three years. What value you will place on this stock if investor requires nine percent return over the period?

Show that the inverse of an invertible matrix A is unique. That is, suppose that B...

Show that the inverse of an invertible matrix A is unique. That is, suppose that B is any matrix such that AB = BA = I. Then show that B = A−1 .

Suppose B is a (2x2) matrix such that B2 = I . Showthat the determinant...

Suppose B is a (2x2) matrix such that B2 = I . Show that the determinant I B I is either +1 or -1. [Hint: A2stands for the matrix product AA. I is the (2x2) identity matrix. A fact: For any two matrices E and F, I EF I = I E I I F I ]

5. Given the data set A = {9, 5, 16, 4, 32, 8, 12, 9, 11,...

5. Given the data set A = {9, 5, 16, 4, 32, 8, 12, 9, 11, 15, 5, 9, 18, 10}, which is the data of an entire population of subjects: a. Calculate the arithmetic mean (5 pts) b. Find the median (5 pts) c. Find the mode (5 pts) d. Calculate the range (5 pts) e. Calculate the interquartile range (5 pts) f. Calculate the mean deviation (5 pts) g. Calculate the variance (5 pts) h. Calculate the standard...

Determine the Kernel of matrix B. Determine the Cokernel of matrix B.

Matrix A 1 2 1 3 1 -1 1 2 2 4 1 3 3 2 1 -1 Matrix B 1 2 3 -2 -1 2 2 -1 2 3 2 -3 3 1 2 -1 3 -5 5 5 5 -7 7 -4 Determine the Kernel of matrix B.Determine the Cokernel of matrix B.Determine the row space of the Cokernel of B.Determine the inverse of matrix A. Perform LU (or PLU) factorization on matrix A and determine the L...

5.) For the data set 2 4 4 5 7 8 9 10 12 12 13...

5.) For the data set 2 4 4 5 7 8 9 10 12 12 13 13 16 16 16 16 17 19 19 20 23 24 24 24 25 26 26 27 28 28 29 31 32 34 34 36 37 38 42 44 45 46 47 47 48 50 52 53 53 54 55 56 56 57 58 (a) Find the 80th percentile. The 80t percentile is = (a) Find the 42nd percentile. The 42nd percentile is...

Suppose x has a distribution with μ = 12 and σ = 9. A.) If a...

Suppose x has a distribution with μ = 12 and σ = 9. A.) If a random sample of size n = 35 is drawn, find μx, σx and P(12 ≤ x ≤ 14). (Round σx to two decimal places and the probability to three decimal places.) P(12 ≤ x ≤ 14)= B.) If a random sample of size n = 62 is drawn, find μx, σx and P(12 ≤ x ≤ 14). (Round σx to two decimal places and...

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