Answer: trivial solution is the only solution to Ax = 0, therefore columns must be linearly independent.
Step-by-step explanation: Recall that the columns of A are linearly independent if and only Ax = 0 had only the trivial solution. Since Ax = b has at most one solution, therefore the only solution to Ax = 0 is the trivial solution and the column vectors must be linearly independent.
I would split it like this so you have:
- A rectangle that's 8 x 10
- A square that's 4 x 4
- A triangle with a base = 2 and a height = 4
Area of rectangle: b * h
8 * 10 = *80*
Area of square: b * h
4 * 4 = *16*
Area of triangle: 1/2 * b * h
(1/2)(2)(4) = *8*
Add up the areas:
80 + 16 + 8
104 is your an answer!
Start from the right-most 7, and go one digit to the left each time:
7 - units place
7 - tens place
7 - hundreds place
3 - thousands place
2 - ten-thousands place
6 - hundred-thousands place
5 - millions place
4 - ten-millions place <----- answer to this question
1 - hundred-millions place
8 - billions place
0 - ten-billions place
9 - hundred billions place
The ten-millions place is the 4.
Answer: 62+63+64
Step-by-step explanation:
Divide 189 by 2. That gives you 63. Then go for a number 1 above it and 1 below it.