Answer:
Step-by-step explanation:
Recall that an elementary matrix of a matrix operation is obtained by applying the matrix operation to the identity matrix. In this case, by replacement, it means changing the whole row of a matrix and replacing it with a the same row multiplied by a number k.
In this case, the solution is
What is the determinant of an elementary row replacement matrix?
An elementary n xn row replacement matrix is the same as the n x n identity matrix with Exactly one of the 1's replaced with some number k.This means this is the triangular matrix and so its determinent is product of its diagonal entries. Thus, the determinant of an elementary row replacement matrix is a number. Especifically, the number k we used to replace the one
1. Exactly one,atleast one
2. 1's or 0's
3. Identity matrix,invertible matrix, triangular matrix or zero matrix.
4. Product or sum
5. A number
5 is the GCF because 5 divided by 15 is 3 and 25 divided by 5 is 5.
Answer:
D. The input force is equal to the output force
Step-by-step explanation:
A pulley changes the direction of the applied force, but does not change its magnitude. The mechanical advantage is the ratio of output force to input force, so must be 1 when the force magnitude does not change.
Answer:
A
Step-by-step explanation:
Remark
f and d are equal (and acute) because they are corresponding angles.
82 and f are supplementary, so we can find f
Finding f
f + 82 = 180
f = 180 - 82
f = 82
Finding d
d = f
d = 82
Answer:
Step-by-step explanation: