Show that the transpose operation is linear: (rA + sB)T = rAT + sBT for r, s
Question:
(rA + sB)T = rAT + sBT
for r, s ∈ R and A, B ∈ Mm×n.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 58% (12 reviews)
We can do this as a straightforward calc...View the full answer
Answered By
Sagar Kumar
I am Mechanical Engineer with CGPA of 3.98 out of 4.00 from Pakistan. I went to Government Boys Degree College, Sehwan for high school studies.
I appeared in NUST Entrance Exam for admission in university and ranked #516. My mathematics are excellent and I have participated in many math competitions and also won many of them. Recently, I participated in International Youth Math Challenge and was awarded with Gold Honor. Now, I am also an ambassador at International Youth Math Challenge,
I have been teaching when I was in 9th class class year 2012. I have taught students from 6th class to university level.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
We can ask how the matrix product operation interacts with the transpose operation. (a) Show that (GH)T = HTGT. (b) A square matrix is symmetric if each i, j entry equals the j, i entry, that is, if...
-
Show that the inner product operation is linear: for and k,m R, u, v, w e R"
-
(a) Prove that the inverse transpose operation (1.55) respects matrix multiplication: (AB)-T = A-TB-T. (b) Verify this identity for A-C) 0
-
In Table 4. 4, Professor Kip Viscusi estimates that the cost per life saved by current government risk-reducing programs ranges from $100,000 for unvented space heaters to $72 billion for a proposed...
-
Only one firm produces and sells soccer balls in the country of Wiknam, and as the story begins, international trade in soccer balls is prohibited. The following equations describe the monopolists...
-
What is the ideal relation between allocation bases (cost drivers) and costs? a. Simple b. Cause and effect c. Complex d. What top management wants
-
What Are Common Barriers to Effective Communication? (pp. 120124)
-
Morales Corporation produces microwave units. The following per unit cost information is available: direct materials $36; direct labor $24; variable manufacturing overhead $18; fixed manufacturing...
-
Tracie recibir pagos de 5.500 dlares al ao durante diez aos. Cul es el valor actual de estos pagos a un tipo de descuento del 6%, compuesto anualmente? (PV de la anualidad)
-
Forrest runs Y Not Flowers, Inc. (YNF), a wholesale flower distributor with stores in several major metropolitan areas of the U.S. He is considering expanding his business, but he thinks his current...
-
Show that this set of column vectors is a subspace of R3. Find a basis. 3x +2y +4z d d2there are x, y, and z such that: x d3, 2x +2y +5z d
-
In this subsection we have shown that Gaussian reduction finds a basis for the row space. (a) Show that this basis is not unique-different reductions may yield different bases. (b) Produce matrices...
-
Use the description of the function to sketch a possible graph. Put a label on each axis and state whether the function is increasing or decreasing. The noise level, in decibels, is a function of...
-
Based on the following information, calculate the sustainable growth rate for Kaleb's Welding Supply: Profit margin Capital intensity ratio Debt-equity ratio Net income Dividends 7.5% 0.65 0.60...
-
Waterway Inc. uses LIFO inventory costing. At January 1, 2025, inventory was $216,014 at both cost and market value. At December 31, 2025, the inventory was $283,252 at cost and $262,660 at market...
-
What is the 32-bit version of: 0000 0000 0001 0101
-
1. Let A = 2 1 4 3 Find AT, A-1, (A-1) and (AT)-1. 2. Let A = = [ -1 -1 2 22 (a) Find (AB), BT AT and AT BT. (b) (AB)-1, B-1A-1 and A-B-1. ] 1-5 and B = 1
-
Xavier Ltd. paid out cash dividends at the end of each year as follows: Year Dividend Paid 2018 $250,000 2019 $325,000 2020 $400,000 Assume that Xavier had 100,000 common shares and 5,000, $4,...
-
Find the area of the shaded region in Figures 1619. y=x - 2x +10 -2 y 2 y=3x + 4x - 10 X
-
Starr Co. had sales revenue of $540,000 in 2014. Other items recorded during the year were: Cost of goods sold ..................................................... $330,000 Salaries and wages...
-
In Exercises 1 9-22, find a least squares solution of Ax = b by constructing and solving the normal equations. 1. 2.
-
In Exercises 23 and 24, show that the least squares solution of Ax = b is not unique and solve the normal equations to find all the least squares solutions 1. 2.
-
In Exercises 25 and 26, find the best approximation to a solution of the given system of equations. 1. x + y - z = 2 - y + 2 z = 6 3x + 2y - z = 1 1 -x + z = 0 2. 2x + 3y + z = 2 1 x + y + z = 7 - x...
-
.Is bankruptcy on the part of the borrower a common risk that frequently interferes with a lenders efforts to work out a defaulted loan through either nonforeclosure means or foreclosure? Discuss.
-
For each of the following, compute the future value: Present Value Years Interest Rate $ 1 , 2 5 0 1 9 1 2 % $ 9 8 , 7 2 7 1 5 1 3 % $ 6 2 5 6 1 2 % $ 1 1 7 , 6 2 2 7 1 6 % 2 . For each of the...
-
Only need help on 4B and 5. Exercise 9-21 Breakeven Planning; Profit Planning (LO 9-2, 9-3] Connelly Inc., a manufacturer of quality electric ice cream makers, has experienced a steady growth in...
Study smarter with the SolutionInn App