The ? shape in the figure below is shown using 9 pixels in a 3 × 3 grid. The color levels are given to the right of the figure. Use the matrix 
that represents a digital photograph of the ? shape to solve the problem.
Adjust the contrast by changing the black to dark grey and the light grey to white. Use matrix addition to accomplish this.
A. 
+ 
= 
B. 
+ 
= 
C. 
+ 
= 
D. 
+ 
= 
Answer: D
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Either the dimensions of two matrices or the matrices themselves are given. Find the dimensions of the product AB and the product BA. If either is not defined, say so.A = 
; B = 
.
A. AB is 3 × 3; BA is 3 × 3. B. AB is 1 × 1; BA is 3 × 3. C. AB is 1 × 1; BA is 1 × 1. D. AB is not defined; BA is not defined
Determine whether the argument in the problem below is valid or invalid. If valid, name the type of reasoning and if invalid, determine the error in reasoning. ? All mathematicians are clever men. All clever men are rich. Therefore, all mathematicians are rich. ?
A. invalid; direct B. valid; indirect C. valid; direct D. invalid; false chain E. valid; transitive
Factor.169y2 - 36
A. (13y - 6)2 B. (169y - 36)(y + 1) C. (13y + 6)2 D. (13y - 6)(13y + 6)
Is the pair of vectors i + 5j and 5i + j perpendicular? ?
A. yes B. no