If G is a 3 x 4 matrix and H is a 4 x 3 matrix, what is the dimension of GH?
1 answer:
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Answer:
1 + cosa sina
Step-by-step explanation:
cos³a - sin³a ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
cos³a - sin³a
= (cosa - sina )(cos²a + cosa sina + sin²a)
= (cosa - sina)(1 + cosa sina) [ sin²a + cos²a = 1 ]
Then
= ← cancel (cosa - sina) on numerator/ denominator
= 1 + cosa sina
Yes, these both are direct relationships and can be written like 
, where k is the constant of variation.
For the first equation, k = 10. For the second equation, k = -4/3. You find it by rearranging the equation into the form
, and you use the coefficient of x for k.
For the first equation, k = 10. For the second equation, k = -4/3. You find it by rearranging the equation into the form