Question

(1) Write down a 3 × 3 matrix, call it A, which is not triangular (upper...

  1. (1) Write down a 3 × 3 matrix, call it A, which is not triangular (upper or lower) with nonzero deter- minant.

  2. (2) By performing one row operation, change your matrix A into a matrix B which has determinant 4. (If your matrix A already has determinant 4, change it to one with determinant 5.)

  3. (3) Compute AB and give the determinant of AB.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Recall that if A is an m × n matrix and B is a p ×...
Recall that if A is an m × n matrix and B is a p × q matrix, then the product C = AB is defined if and only if n = p, in which case C is an m × q matrix. (a) Write a function M-file that takes as input two matrices A and B, and as output produces the product by columns of the two matrix. For instance, if A is 3 × 4 and B is...
Please give examples of matrices which (1) is an augmented matrix of a linear system which...
Please give examples of matrices which (1) is an augmented matrix of a linear system which 3 equations and 3 variables. (2) is an augmented matrix of a linear system which 3 equations and 3 variables and all variables should be presented. (3) is an augmented matrix of a linear system which 3 equations and 3 variables and one of the variables is not presented. (4) is an augmented matrix of a linear system which is inconsistent. (5) is an...
2. Write the output matrix “v” t = [2:4]; k = [1:3]; v = t.*k –...
2. Write the output matrix “v” t = [2:4]; k = [1:3]; v = t.*k – k.^2 4. Given: D = [1 2 3 4 5 6 7 8 9] (3x3) . Which command will extract the submatrix [1 2 3 4 5 6] (2x3) ? a. D[1:2,1:3] b. D(1,2 ;1,3) c. [D(1:2),D(1:3)] d. D(1:2,1:3) 14. What will be the dimension of matrix B? B=[ones(3) zeros(3) rand(3); 2*eye(9)] 18. Find the value of “C” A=1:2:10; B=linspace(1,5,5); C = length(A)*B(2)+A(5)*B(3); 19....
Physical Chemistry Questions: 3. Write down the simplest appropriate LCAO (linear combinations of atomic orbitals) variational...
Physical Chemistry Questions: 3. Write down the simplest appropriate LCAO (linear combinations of atomic orbitals) variational wavefunction and give the explicit expressions for the atomic orbitals used, i.e., how they depend on the coordinates. 4. Write down the variational formula for the energy and give explicit expressions for the integrals that have to be computed. Don’t compute all the integrals, as it is too time consuming, but point out which are easy to evaluate and which are equivalent. Give an...
Let Aequals=left bracket Start 2 By 2 Matrix 1st Row 1st Column 1 2nd Column 2...
Let Aequals=left bracket Start 2 By 2 Matrix 1st Row 1st Column 1 2nd Column 2 2nd Row 1st Column 8 2nd Column 18 EndMatrix right bracket 1 2 8 18 ​, Bold b 1b1equals=left bracket Start 2 By 1 Matrix 1st Row 1st Column negative 5 2nd Row 1st Column negative 36 EndMatrix right bracket −5 −36 ​, Bold b 2b2equals=left bracket Start 2 By 1 Matrix 1st Row 1st Column 3 2nd Row 1st Column 16 EndMatrix right...
Here are some vectors in R 4 : u1 = [1 3 −1 1] u2 =...
Here are some vectors in R 4 : u1 = [1 3 −1 1] u2 = [1 4 −1 1] u3 = [1 0 −1 1] u4 = [2 −1 −2 2] u5 = [1 4 0 1] (a) Explain why these vectors cannot possibly be independent. (b) Form a matrix A whose columns are the ui’s and compute the rref(A). (c) Solve the homogeneous system Ax = 0 in parametric form and then in vector form. (Be sure the...
Write the class width of a frequency distribution which has classes: 15 – 21 and 22...
Write the class width of a frequency distribution which has classes: 15 – 21 and 22 – 28. Write all class boundaries for the frequency distribution above. Write all midpoints of the classes. Write all lower class limits. Write all upper class limits. Write all values represented by the stemplots: 7 | 0 4 4 3 Create a dotplot for the data: 1 1 1 2 2 2 2 2 3 3 4 4 4 4 4 4 4 5...
An airline operates a call center to handle customer questions and complaints. the airline monitors a...
An airline operates a call center to handle customer questions and complaints. the airline monitors a sample of calls to help ensure that the service being offered is of high quality. The random samples of 100 calls each were monitored under normal conditions. The center can be thought of as being in control when these 10 samples were taken. The number of calls in each sample not resulting in a satisfactory resolution for the customer is as follows: 4 5...
Answer all of the questions true or false: 1. a) If one row in an echelon...
Answer all of the questions true or false: 1. a) If one row in an echelon form for an augmented matrix is [0 0 5 0 0] b) A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax=b has at least one solution. c) The solution set of b is the set of all vectors of the form u = + p + vh where vh is any solution...
1. Let ?(?)=−?4−4?3+8?−1. Find the open intervals on which ? is concave up (down). Then determine...
1. Let ?(?)=−?4−4?3+8?−1. Find the open intervals on which ? is concave up (down). Then determine the ?-coordinates of all inflection points of ?. 2. Find the x-values of all inflection points for the graph ?(?)=2?4+18?3−30?2+15f(x)=2x4+18x3−30x2+15. (Give your answers as a comma separated list, e.g., 3,-2.) 3. Let f(x)=1/4x2+7. Find the open intervals on which ?f is concave up (down). Then determine the ?x-coordinates of all inflection points of ?. 4. Let ?(?)=6?−3/?+4 Find the open intervals on which ?f...