Frank is 13 and his sister is 5.
Explanation:
Frank’s age: y=x+8
After 3 years, their ages will be y=x+11 and his sisters age, y=x+3.
In 3 years he will be twice as old.
Equation:
x+11=2•(x+3) -> x=5
Frank is now 5+8=13.
Answer:
True
True
False
Step-by-step explanation:
TRUE
If the equation Ax = 0 has only the trivial solution, then A is row equivalent to the n × n identity matrix
Here's why
If the equation Ax = 0 has only the trivial solution the determinant of the matrix is NOT 0 and the matrix is invertible therefore it is row equivalent to the nxn identity matrix.
TRUE
If the columns of A span ℝ^n , then the columns are linearly independent
Here's why
Remember that the rank nullity theorem states that
According to the information given we know that
Therefore you have
and
Which is equivalent to the problem we just solved.
FALSE
If A is an n × n matrix, then the equation Ax = b has at least one solution for each b in ℝ^n
Here's why
Take b as a non null vector and A=0, then Ax = 0 and Ax=b will have no solution.
Answer:
it's too blurryyyyyyyyyyyyyyyyyyyyy
27/64 . because you do 3/4 to the third power (3x) which gives you that
The answer is; hills.
<em>Hope this helped and please do tell me if I am wrong so that I can correct my mistake. :)</em>