What is the product of -4 and 8.1? a) -32.4 b) -12.1 c)12.1 b) 32.4
1 answer:
Option A
<u>Answer: </u>
The product of -4 and 8.1 is -32.4
<u>Solution: </u>
When we multiply a negative number with a positive number we get the resultant product as a negative number.
Here we have to multiply - 4 which is a negative number and 8.1 which is a positive number.
To simplify the multiplication calculation we can write 8.1 as 8+0.1 and then multiply 4 with both 8 and 0.1
-4 8.1 = -4
(8+0.1)
⇒ -4 8.1 = -4
8 – 4
0.1 [Multiplying 4 with 8 and 0.1]
⇒ -4 8.1= -32 - 0.4
⇒ -4 8.1= - 32.4
Thus the product of -4 and 8.1 is -32.4
You might be interested in
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