I had been planning to work for 20 hours a week for 12 weeks this summer to earn $\$3000$ to buy a used car. Unfortunately, I go
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If 
is invertible, then we can simply choose 
because for any invertible matrix 
by definition we must have 
.
We have
, as
which means is non-singular and has an inverse. The inverse itself would be
We have
which means
The value of constant c for which the function k(x) is continuous is zero.
<h3>What is the limit of a function?</h3>The limit of a function at a point k in its field is the value that the function approaches as its parameter approaches k.
To determine the value of constant c for which the function of k(x) is continuous, we take the limit of the parameter as follows:
Provided that:
Using l'Hospital's rule:
Therefore:
Hence; c = 0
Learn more about the limit of a function x here:
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☆What is the prime factorization of 108?
To find the prime factorization, first divide 108 by 2.
You have 2 numbers: 54 and 2. 2 is a prime number and 54 isn't. Divide 54 by 2 until every factor of 54 is prime.
★ Prime number collection: 2
Add 2 to the "prime number collection". Divide 27 by factors until every factor you find is prime.
★ Prime number collection: 2, 2
Add 3 to the "prime number collection". Divide 9 by a factor of it to find more prime numbers.
★ Prime number collection: 2, 2, 3
The two 3's are prime. No more dividing! Add those to the "prime number collection".
★ Prime number collection: 2, 2, 3, 3, 3
Multiply all the numbers in your "prime number collection".