The equation y-5=6(x+1) is written in point-slope form. What is the equation written in slope-intercept form?
2 answers:
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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
The function the represent the balance in the account as a function of time t is p(t) = 1000 + 40t
<h3><u>Solution:</u></h3>Given that,
Carmen deposits $1000 into simple interest account
The rate for the account is 4%
To find: function the represent the balance in the account as a function of time t
Given is simple interest account
The formula for simple interest is given as:
Where, "p" is the principal and "r" is the rate of interest and "t" is the number of years
In simple interest,
total amount after "t" years = principal + simple interest
Here in this question, Carmen deposits $1000
Thus we can frame a function as:
total amount after "t" years = principal + simple interest
Where, p(t) is the amount after "t" years and is the principal sum
Thus the function is obtained