A2 = [1 2 3; 4 5 6; 7 8 9; 3 2 4; 6 5 4; 9 8 7]
b2 = [1 1 1 1 1 1]′

(a) find a basis for the row space of a2.
(b) how many solutions does a2 ?

Remember, a basis for the row space of a matrix A is the set of rows different of zero of the echelon form of A.

We need to find the echelon form of the matrix augmented matrix of the system A2x=b2

We apply row operations:

1.

We obtain the matrix

2.

We obtain the matrix

3.

we exchange rows three and four of the previous matrix and obtain the echelon form of the augmented matrix.

Since the only nonzero rows of the augmented matrix of the coefficient matrix are the first three, then the set

is a basis for Row (A2)

Now, observe that the last two rows of the echelon form of the augmented matrix have the last coordinate different of zero. Then, the system is inconsistent. This means that the system has no solutions.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

answer: '

the distance between points l and m

step-by-step explanation: