Question: Prove that |ab | = |a||b|.

Prove that |ab | = |a||b|.

Step by Step Solution

★★★★★

3.53 Rating (174 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

In order to prove that ab ab using definition of absolute valu... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus Early Transcendentals 9th Questions!

Q:

Prove that if AB and BA are both defined, then AB and BA are both square matrices.

Q:

A slender rod AB of mass m is attached to two blocks A and B that can move freely in the guides shown. Knowing that the spring is unstretched when AB is horizontal, determine three values of...

Q:

Prove that if {C,D} divides AB harmonically on the line l and {C',D'} divides A'B' harmonically on the line l' then there exists a unique projectivity that maps A, B, C and D to A', B', C' and D',...

Q:

Submit solutions to the following problems. Write in complete sentences, with full explana- tions. You will be graded on both content and form; clear communication is important! 1. Let a,b,c,d Z....

Q:

Need help with this Foundations of Mathematics homework problem. I received feedback from my professor for this problem and he said Quotient set description needs considerably more detail. Hint: Can...

Q:

Hello, may you please help me with the right steps I should take to solve those problems? STEREOMETRY 1. Let ABCA1BiCi be a triangular prism. Find the angle between: a. AB and CC1 b. AB and CiBi 2....

Q:

solve these following 17. Show that 0 is the only nilpotent element in an integral domain. 18. A ring element a is called an idempotent if a2 = a. Prove that the only idempotents in an integral...

Q:

Discrete math Exercises to Sets Q1) Given the following: A UB= ( 7, 6, 5, 4, 3, 2, 1 } ANB= ( 7 ) BUC= { 8.7,5, 3, 2, 1) BNC = { 7,5,1} AUC= { 8, 7, 6, 5, 4, 2, 1 ) ANC-{7,2) 1) Find the sets A, B...

Q:

1) Prove the following, using Boolean Algebra Theorems ab + bc + ab + bc = 1 2) Prove, using Boolean Algebra theorems, that the complement of XOR gate is XNOR gate (Hint: Prove that AB + AB = AB + AB...

Q:

Prove the Triangle Inequality Theorem. GIVEN > C PROVE (1) AB + BC > AC (2) AC + BC> AB (3) AB + AC > BC Plan for Proof One side, say BC, is longer than or at least as long as each of the other...

Q:

Use the model of supply and demand for bonds to determine the impact on bond prices and yields of expectations that the real estate market is going to weaken.

Q:

A task force of capital budgeting analysts at Morrison Ltd. collected the following data concerning the drilling and production of known petroleum reserves at an offshore location: Investment in...

Q:

E12.13 (LO 2) (Warranties) Early in 2025, Sheryl Crow Equipment sold 500 Rollomatics at 6,000 each. During 2025, Crow spent 20,000 servicing the 2-year assurance warranties that accompany the...

Q:

1. Define what it means to perform decision making under assumed certainty, risk, and uncertainty.

Q:

Evaluate the following integrals. Consider completing the square. dx 2+ v2 V (x 1)(x 3)

Q:

Evaluate using the substitution x = 2 tan -1 . The identities sin x = 2 sin x/2 cos x/2 and cos x = cos 2 x/2 - sin 2 x/2 are helpful. dx 1 + sin x + cos x

Q:

Find the volume of the solid torus formed when the circle of radius 4 centered at (0, 6) is revolved about the x-axis.

Q:

Bellwood Corp. is comparing two different capital structures. Plan I would result in 23,000 shares of stock and $81,000 in debt. Plan II would result in 17,000 shares of stock and $243,000 in debt....

Q:

Suppose the expected returns and standard deviations of stocks A and B are E( RA ) = 0.13, E( RB ) = 0.19, A = 0.28, and B = 0.52, respectively. (a) Calculate the expected return and standard...

Q:

Consider the following scenario: Company A contracts with Company B to supply widgets. At the time of signing the contract B pays $175 in advance for the widgets, which it plans to sell in turn for...