3. Consider the matrix A and its echelon form U ~ A given by [2 6 12 8 A = |7 2 4 va 9. 9 7 14 16 [1 0 0 1] U = |0 1 2 1 (a) What is the rank of A? 0 0 0 0 (b) What is the nullity of A? (c) Find a basis for the row space of A. seHerc soure
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
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A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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![3. Consider the matrix A and its echelon form U
~ A given by
vas
[2 6 12
8
[1 0 0 1]
U = |0 1 2 1
A =
7 2
4
9.
9 7 14 16
(a) What is the rank of A?
0 0 0
(b) What is the nullity of A?
(c) Find a basis for the row space of A.
(d) Find a basis for the column space of A.
(e) Find a basis for the null space of A.
Tesource
(f) Let b = (6, 2, 7). Without using Gaussian elimination, determine whether the linear system Ax = b
is consistent. Be sure to explain your answer.
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