In each case below, give an example of a matrix that meets the specified condition.(a) A and B so that AB is not defined (b) a 2 × 2 matrix that has no inverse(c) C and D so that CD is defined but DC is not defined
What will be an ideal response?
Answers will vary.
(a) Possible solutions: any two matrices such that the number of columns in A is not the same as the number of rows in B.
One possible example is A = 
and B = 
.
(b) Possible solution: any 2 × 2 matrix such that ? = 0, or having a row of zeros.
Possible examples: 
or 
.
(c) Possible solutions: any two matrices such that the number of columns in C is the same as the number of rows in D, but the number of rows in C is not equal to the number of columns in D.
One possible example is C = 
and D = 
.
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Evaluate the following expression. ? (sin2x - sin4x) cos x ?
A. cos4x sin2x B. cos2x sin2x C. cos2x sin6x D. cos3x sin2x E. cos x sin x
Provide an appropriate response.When the numerator is the same as the denominator, for example 
, the fraction is called a(n) 
fraction.
A. whole B. proper C. uncommon D. improper
Suppose that a wholesaler expects that his monthly revenue (in dollars) for small television sets will be 
, where x is the number of units sold. Find the marginal revenue, and interpret your answer when the quantity sold is 
variablename="impvar_9e3403a9350b4a27a704c8fe5" />. ? A. 70. The additional revenue from the 501st unit is about $70. B. 60. The additional revenue from the 501st unit is about $60. C. 30. The additional revenue from the 501st unit is about $30. D. 40. The additional revenue from the 501st unit is about $40. E. 50. The additional revenue from the 501st unit is about $50.
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A. 35 hr B. 5.1 hr C. 40 hr D. 15.8 hr