Question

Let C = column matrix [1 2 3 1] and D = row matrix[−1 2 1...

Let C = column matrix [1 2 3 1] and D = row matrix[−1 2 1 4] . Prove that (CD)^10 is the same as C(DC)^9D and do the calculation by hand.

Homework Answers

Answer #1

Evaluate both the terms separately and then from the result obtained establish the equality.

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
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...
1. Let a,b,c,d be row vectors and form the matrix A whose rows are a,b,c,d. If...
1. Let a,b,c,d be row vectors and form the matrix A whose rows are a,b,c,d. If by a sequence of row operations applied to A we reach a matrix whose last row is 0 (all entries are 0) then:        a. a,b,c,d are linearly dependent   b. one of a,b,c,d must be 0.       c. {a,b,c,d} is linearly independent.       d. {a,b,c,d} is a basis. 2. Suppose a, b, c, d are vectors in R4 . Then they form a...
Let A be a 2x2 matrix and suppose that det(A)=3. For each of the following row...
Let A be a 2x2 matrix and suppose that det(A)=3. For each of the following row operations, determine the value of det(B), where B is the matrix obtained by applying that row operation to A. a) Multiply row 1 by -4 b) Add 4 times row 2 to row 1 c) Interchange rows 2 and 1 Resulting values for det(B): a) det(B) = b) det(B) = c) det(B) =
Let R*= R\ {0} be the set of nonzero real numbers. Let G= {2x2 matrix: row...
Let R*= R\ {0} be the set of nonzero real numbers. Let G= {2x2 matrix: row 1(a b) row 2 (0 a) | a in R*, b in R} (a) Prove that G is a subgroup of GL(2,R) (b) Prove that G is Abelian
. Given the matrix A = 1 1 3 -2 2 5 4 3 −1 2...
. Given the matrix A = 1 1 3 -2 2 5 4 3 −1 2 1 3 (a) Find a basis for the row space of A (b) Find a basis for the column space of A (c) Find the nullity of A
1. Let A be the 2x2 matrix in M_{2x2}(C), whose first row is (0,1) and second...
1. Let A be the 2x2 matrix in M_{2x2}(C), whose first row is (0,1) and second row is (-1,0). (a) Show that A is normal. (b) Find (complex) eigenvalues of A. (c) Find an orthogonal basis for C^2, which consists of eigenvectors of A. (d) Find an orthonormal basis for C^2, which consists of eigenvectors of A.
A=l −2 −7 −45 4 5 27 1 3 20 . Find the third column of...
A=l −2 −7 −45 4 5 27 1 3 20 . Find the third column of A−1 ( subscript -1) without computing the other two columns. How can the third column of A−1 ( subscript -1) be found without computing the other​ columns? A. Row reduce the augmented matrix​ [AI3​( not 13 but capital I subscript 3]. B. Row reduce the augmented matrix​ [A e3​],where e3 is the third column of I3.( capital I subscript 3) C. Row reduce the...
MATLAB Create a matrix E, using A and B vectors as row 1 and row 2...
MATLAB Create a matrix E, using A and B vectors as row 1 and row 2 respectively A = 10 thru 1 B = 1 thru 4.2 with ten equally spaced elements and Find the indices (row and col) within E where (prob02a, b, c, d) E = 5 E > 4 E < 1.9 E > 1 and E < 2
Let T be an linear transformation from ℝr to ℝs. Let A be the matrix associated...
Let T be an linear transformation from ℝr to ℝs. Let A be the matrix associated to T. Fill in the correct answer for each of the following situations (enter your answers as A, B, or C).   1. Every row in the row-echelon form of A has a leading entry.   2. Two rows in the row-echelon form of A do not have leading entries.   3. The row-echelon form of A has a leading entry in every column.   4. The row-echelon...
Consider the following matrix. A = 4 -1 -1 2 6 -3 6 4 1 Let...
Consider the following matrix. A = 4 -1 -1 2 6 -3 6 4 1 Let B = adj(A). Find b31, b32, and b33. (i.e., find the entries in the third row of the adjoint of A.)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT