Show that a square matrix which has a row or a column consisting entirely of zeros must

Question:

Show that a square matrix which has a row or a column consisting entirely of zeros must be singular.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Elementary Linear Algebra with Applications

ISBN: 978-0132296540

9th edition

Authors: Bernard Kolman, David Hill

See More Books

Question Posted: Jun 21, 2016 07:00 AM

See More Questions

Use Theorem 2.6 to show that a square matrix is nonsingular if and only if it is equivalent to an identity matrix.
Show that a square matrix A is invertible if and only if it can be left-cancelled: AB = AC implies B = C.
A square matrix is strictly diagonally dominant if the absolute value of each diagonal entry is greater than the sum of the absolute values of the remaining entries in that row. Use Gerschgorin's...
k) Assume that one of these portfolio's is the Market Portfolio and all portfolios, except Portfolio G, are fairly priced according to the CAPM. What is the highest utility score that can be achieved...
Patrick's Pressure Wash pays $4,000 per month to lease equipment that it uses for washing sidewalks, swimming pool decks, houses, and other things. Based on the size of a work crew, the cost of the...
Karr Inc. reported net income of $300,000 for 20X1. Changes occurred in several balance sheet accounts as follows: Equipment ................................. $25,000 increase Accumulated...
Assume you work for an accounting firm and you are part of a team that does work for two clients that are competitors. Describe some ways in which ethical considerations might be an important part of...
The U.S. Census bureau serves as the leading source of quantitative data about the nation's people and economy. The following cross tabulation shows the number of households (1000s) and the household...
ABC limited. has a 6% coupon bonds that has maturity in 11 years. The bond pays interest semi-annually. What is the market price of a $1,000 face value bond if the yield to maturity is 12.9%?
Olindo Company sells Gishs bonds costing $40,000 for $45,000, including $500 of accrued interest. In recording the sale, Olindo books a $5,000 gain. Is this correct? Explain.
Let A and B be m n matrices. Show that A is row equivalent to B if and only if AT is column equivalent to BT.
(a) Is (A + B)-1 = A-1 + B-1? (b) Is (cA)-1 = 1/c A-1?
Identify the reactants that you would use to make each of the following enamines: (a) (b) (c) -N
adam likes to skateboard on a street that drops 8 5 . 9 ft over a horizontal distance of 5 0 4 ft . what is the grade of the street?
Rose' investment portfolio fell by 40% in the first year but rebounded by 40% in the second year. Did rose regain all of the money that she lost first year at end of the second year? If no explain why
Consider the singularly perturbed system x' = x+z z' = 2x^3z (a) Compute the quasi-steady-state system (b) Compute the boundary-layer system
4. [5 points] Find, if possible, the matrix X that satisfies the equation: -13 X +8 3
find all pair of positive integral a and b with a smaller than b such that a 2 + b 2 = 1 4 5 . use gaussian integers
Colt Company produces two skateboard models. Machine time per unit for Hero is two hours and for Flip is one hour. The machines capacity is 1,600 hours per year. Colt can sell up to 500 units of Hero...
Define the term utility software and give two examples.
Let u be a vector in an inner product space V, and let (v1, v2, ..., vn) be an orthonormal basis for V. Show that if a1 is the angle between u and vi then Cos2a1 + cos22 + . . . + cos2an = 1
Prove part (c) of Theorem 6.2.5. Theorem 6.2.5. (c) The orthogonal complement of W is W; that is, (W) = W.
Find a weighted Euclidean inner product on Rn such that the vectors v1 = (1, 0, 0,..., 0) v2 = (0, 2,0,..., 0) v3 = (0, 0, 3,..., 0) . . . vn = (0,0,0, . . .n) Form an orthonormal set.
Microblogging is found in Web 2.0. Explain clearly and in detail why microblogging could only exist in, and be a product of, Web 2.0, and not exist in or be a product of Web 1.0.
The brute force algorithm for string matching is given below: ALGORITHM Brute Force String Match(T[0..n-1], P[0..m-1]) //Implements brute-force string matching //Input: An array T[0..n-1] of n...
Below is a 2-3 tree, into which 4 elements were inserted so far. Please insert C,H,X,P and L in this tree in the given order. Show all intermediate steps with your drawings. E RS

Show that a square matrix which has a row or a column consisting entirely of zeros must

Question:

Step by Step Answer:

If A has a row of zeros then A cannot be row equivalent t...View the full answer

Elementary Linear Algebra with Applications

Students also viewed these Linear Algebra questions