The expression given is
The sum of the expression will be,
The sum will be
The inverse of the function g(x)=x−65 can be written in the form g−1(x)=ax+b. What is the value of a?
1 answer:
You might be interested in
Answer:
-51/82.
Explanation:
Given two points (x1,y1)=(2,21) and (x2,y2)=(84,-30), we find the slope using the formula below:
Substitute the given points:
The slope of the line that passes through the given points is -51/82.
Answer:
Results are (1) True. (2) False. (3) False. (4) True. (5) True. (6) True.
Step-by-step explanation:
Given A is an matrix. Let
be the corresponding linear transformationover the field F and
be identity vector in V. Now if
.
(1) The kernel of a linear transformation is a vector space : True.
Let , then,
hence the kernel is closed under addition.
Let , then
and thus Ket(T) is closed under multiplication
Finally, fore all vectors ,
Thus Ker(T) is a subspace.
(2) If the equation Ax=b is consistent, then Col(A) is : False
if the equation Ax=b is consistent, then Col(A) must be consistent for all b.
(3) The null space of an mxn matrix is in
: False
The null space that is dimension of solution space of an m x n matrix is always in .
(4) The column space of A is the range of the mapping
: True.
(5) Col(A) is the set of all vectors that can be written as Ax for some x. : True.
Here Ax will give a linear combination of column of A as a weights of x.
(6) The null space of A is the solution set of the equation Ax=0.
: True