Answer:
Five
Step-by-step explanation:
Pivot columns are said to be columns where pivot exist and a pivot exist in the first nonzero entry of each row in a matrix that is in a shape resulting from a Gaussian elimination.
Suppose A = 5 × 7 matrix
So; if A columns span set of real numbers R⁵
The number of pivot columns that A must have must be present in each row. In a 5 × 7 matrix ; we have 5 rows and 7 columns . So , since A must be present in each row, then :
The matrix must have five pivot columns and we can infer that about the statements that "A has a pivot position in every row" and "the columns of A spans R⁵" are logically equivalent.
Answer:
Step-by-step explanation:
<u>The Volume of Rectangular Prism</u>
Given a rectangular prism of dimensions W, L, and H, its volume is the product of the three dimensions:
V = WLH
The figure shows the dimensions:
L=3 cm
Thus, the volume is:
Simplifying:
Since the motorcycle moves horizontally, the vertical component of its velocity is zero. Determine the time it takes for the motorcycle to move down the 50-m cliff.
d = (v1)(t) + (0.5)gt²
Substituting the known values,
50 m = 0 + (0.5)(9.8)(t²) ; t = 2.26 s
Now for the horizontal component, the velocity is constant
90 m = (v)(2.26 s)
The value of v is approximately 39.82 m/s.