Answer:
Suppose 3 consecutive integers are X-1,X,X+1
Step-by-step explanation:
Sum = X-1+X+X+1= -78
3X=-78
X= -78/3
X= -26
3 consecutive integers are, -27, -26,-25.
smallest integer is -27
Step-by-step explanation:
If T:Rn→Rm is a linear transformation and if A is the standard matrix of T, then the following are equivalent:
1. T is one-to-one.
2. T(x) = 0 has only the trivial solution x=0.
3. If A is the standard matrix of T, then the columns of A are linearly independent.
Here, A is a mxn matrix where m ≥ n and the rank of A equals n. It implies that the columns of A are linearly independent, for, otherwise, the rank of A would be less than n. Hence the linear transformation represented by A is one-to-one.
Answer:
33k - 15
Step-by-step explanation:
Given expression,

By the distributive property,


By combining like terms,

∵ Further simplification is not possible,
Hence, the required simplified form of the given expression is,

Answer:
<u>6200</u>
Step-by-step explanation:
1 Dekagram = 1000 Centigram
6.2 x 1000 =
<u>6200</u>