Secret messages can be encoded by using a code and an encoding matrix. If we have the code:
and an encoding matrix E, we can encode a message by taking every two letters of the message, converting them to their corresponding numbers, creating a 2 × 1 matrix, and then multiplying each two numbers by E. The message may be unscrambled with a decoding matrix which is the inverse of the coding matrix, E-1. Determine if the given pair of encoding matrices are inverses of each
other.
and 
What will be an ideal response?
= 
; yes, they are inverses
Mathematics
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Find the direction angles of each vector. Round to the nearest degree, if necessary.v = -2i + 4j - 3k
A. ? = 112°, ? = 42°, ? = 124° B. ? = 115°, ? = 33°, ? = 129° C. ? = 113°, ? = 40°, ? = 125° D. ? = 119°, ? = 14°, ? = 137°
Mathematics
Factor the polynomial completely.t3 + 8
A. (t + 2)(t2 + 4) B. (t - 8)(t2 - 1) C. (t + 2)(t2 - 2t + 4) D. (t - 2)(t2 + 2t + 4)
Mathematics
Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = -|x| 
A. 
B. 
C. 
D. 
Mathematics
Simplify the exponential expression.
A. 
B. -9x2
C. 
D. -9x3
Mathematics