Let A be a 5 × 4 matrix with a pivot in each column. Is A invertible? Why or why not?
1 answer:
Answer:
Matrix A is not invertible.
Step-by-step explanation:
Invertible matrix are those matrix which are square matrix or non singular matrix.
For any matrix to be invertible, matrix should be non singular i.e. det(x) 0.
But for the question given above we cannot find determinant of matrix A as it is not square matrix. so inverse of given matrix does not exist. so it is not possible to have non trival solutions.
You might be interested in
Answer:
x=5, y=2
Step-by-step explanation:
To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7-y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7-
y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7-
(3) since y=3, and we'll get x=7-
, or x=7-2, or x=5.
x=5
y=2
Answer:
The answer is " The volume is greater than 50 cubic units "
Step-by-step explanation:
In this question, the value of the units and figure is missing that's why its solution can be defined as follows:
Let's the unit value =50 and please find the figure in the attachment file.
The given figure shows its box is not filled with 50 cubes. These were ten empty places where cubes could be placed.
This figure indicates that only the box size will be four units per five units per three units, so they realize it will be in...
That's why the volume value exceeds 50 cubic units.
