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4 years ago

Factor completely:

Mathematics

1 answer:

Brums [2.3K]4 years ago

8 0

Answer:

Factor completely:

3x^2 + 9x-3

a) 3(x^2+3)

<u>b) 3(x^2+3x-1) </u>

c) 3x(x^2+3x-1)

d) prime

Step-by-step explanation:

Take out the common factor 3

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4 years ago

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3 years ago

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3 years ago

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Find the transition matrix from B to B'. B = {(-1,2), (3, 4)), B' = {(1, 0), (0, 1)} STEP 1: Begin by forming the following matr

8_murik_8 [283]

Answer: The required matrix is

$T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .$

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B = {(-1,2), (3, 4)) and B' = {(1, 0), (0, 1)}.

Let us consider two real numbers a, b such that

$(-1,2)=a(1,0)+b(0,1)\\\\\Rightarrow (-1,2)=(a,b)\\\\\Rightarrow a=-1,b=2.$

Again, let us consider reals c and d such that

$(3,4)=c(1,0)+d(0,1)\\\\\Rightarrow (3,4)=(c,d)\\\\\Rightarrow c=3,d=4.$

Therefore, the transition matrix is given by

$T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .$

Thus, the required matrix is

$T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .$

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3 years ago

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Step-by-step explanation:

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3 years ago