The matrix S is said to be a square root of the matrix A if S2 =
Question:
(a) Show that
is a square root of the matrix
Can you find another square root of A?
(b) Explain why only square matrices can have a square root.
(c) Find all real square roots of the 2 Ã 2 identity matrix
(d) Does
have a real square root?
Transcribed Image Text:
04 0 -(0 9) -1=(3-0) -1 0
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 40% (10 reviews)
a Check that S 2 A by direct computation Another ...View the full answer
Answered By
Zablon Gicharu
I am an educator who possesses the requisite skills and knowledge due to interacting with students for an extended period. I provide solutions to various problems in step-by-step explanations, a well-thought approach and an understandable breakdown. My goal is to impart more straightforward methodologies and understanding to students for more remarkable achievements.
5.00+
4+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
An n x n matrix A is said to be a idempotent if A2 = A. Show that if is an eigenvalue of an idempotent matrix, then must be either 0 or I.
-
A matrix B is said to be a square root of a matrix A if BB = A. (a) Find two square roots of (b) How many different square roots can you find of (c) Do you think that every 2 Ã 2 matrix has at...
-
A matrix is said to be a semi-magic square if its row- sums and column sums (i.e., the sum of entries in an individual row or column) all add up to the same number. An example is whose row and column...
-
A certain university has decided to introduce the use of plus and minus with letter grades, as long as there is evidence that more than 60% of the faculty favor the change. A random sample of faculty...
-
1. In this program, in what ways are Generation- X and -Y employees depicted differently from baby-boomer employees? Are the differences a reasonably accurate representation of generational...
-
What factors in the business environment encourage firms to partner to compete?
-
The online review service Yelp helps millions of consumers find the goods and services they seek. To help consumers make more-informed choices, Yelp includes over 120 million reviews. The file yelp...
-
a. Suppose the discount rate in Problem 13a changes to 13 percent (.13). Perform present value analysis using the new discount rate. b. What is your recommendation to Alamo Foods now? c. Explain the...
-
The patent has a 12-year life remaining. The drug requires $150 million initial costs for commercial production. Based on market research, the current assessment is that the net cash flows of the...
-
Table lists typical elements found in a process control block for an unthreaded OS. Of these, which should belong to a thread control block and which should belong to a process control block for a...
-
Matrix Polynomials. Let p(x) = cnxn+cn-1 xn-1+ + C1x + C0 be a polynomial function. If A is a square matrix, we define the corresponding matrix polynomial p(A) = cnAn + cn-1An-1 + + C1A + c0I;...
-
A block matrix has the form In which A, B, C, D are matrices with respective sizes i à k,i à l, j à k, j à l. (a) What is the size of M? (b) Write out the block matrix M...
-
(a) Derive the generalizedwave equation satisfied by E(r, t) in non magnetic matter when the permittivity is a function of position, (r). Specialize the equation to the case when (r) = (z) and E(r,...
-
Concord Corporation is authorized to issue 49,000 shares of $5 par value common stock. During 2025, Concord took part in the following selected transactions. a. Issued 4,600 shares of stock at $42...
-
Q1: Choose two Regular Expressions (RE), Draw Nondeterministic finite automaton (NFA) transition diagram for first one, and Draw Deterministic finite automaton (DFA) transition diagram for second...
-
What mechanisms underlie the phenomenon of ecological niche differentiation, and how does it drive biodiversity within ecosystems where interspecific competition is high ?
-
On average, five persons visit the University of Maryland Health Center for COVID-19 testing every hour. Determine the probability the next person to visit the Heath Center for COVID-19 testing...
-
what ways does the concept of biocultural diversity broaden our understanding of the relationship between human societies and biodiversity, and how can this concept inform more holistic conservation...
-
Design sort-based and hash-based algorithms for computing the relational division operation. branch(branch_name, branch_city, assets) customer (customer_name, customer_street, customer_city) loan...
-
H.J. Heinzs annual dividends were as follows: 1990 ..............$0.540 1991.............. 0.620 1992 .............. 0.700 1993.............. 0.780 1994 .............. 0.860 1995 .............. 0.940...
-
Find the hyperbolic function g(t) = a cosh t + b sinh t that best approximates the data in Exercise 5.5.41. Data From 5.5.41 Given the values construct the trigonometric function of the form g(t) = a...
-
Let f(x) = x. Find the trigonometric function of the form g(x) = a + b cos x + c sin x that minimizes the L 2 error ||g-f || = = [9(r) - f(x)] dr.
-
An individual bar in a structure experiences a stress of 3 under a unit horizontal force applied to all the nodes and a stress of 2 under a unit vertical force applied to all nodes. What combinations...
-
Explain how the OS and Utility programs work with application software. Summarize the features of several embedded operating systems course: introduction to information technology code: EBI...
-
Determine the complexity of the following pseudocode snippets in Big-O and Big-Q2. Do these code snippets have a Big-e? What are the functions doing? 1) my_func(some_nums) result = 0 for (num in...
-
Please explain and describe what are input and output devices. Explain what the differences are between an operating system, an embedded operating system, and a network operating system. Explain and...
Study smarter with the SolutionInn App