e. If H is a subspace of R", then there is a nxn matrix A such that H = Col A. f. If A is m x n matrix and rank A is equal to m, then the linear transformation H A is injective. g. If A is m x n matrix and the linear transformation + AT is surjective, then rank of A is equal to m.
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.
Arcs in Circles
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.
![Exercise 3.
Mark each statement True of False: Justify each answer. (if true, cite appropriate
facts or theorems. If false, explain why or give a counterexample that shows why
the statement is not true in every case)
HOua lin0onlu
don
Hont](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c64b2f4-0559-408d-b944-b58285f996aa%2F818dc074-ec91-479f-a970-1f464da7f7a8%2Fj9lzj61_processed.png&w=3840&q=75)
![e. If H is a subspace of R", then there is a n xn matrix A such that H = Col A.
f. If A is m x n matrix and rank A is equal to m, then the linear transformation
n H At is injective.
g. If A is m x n matrix and the linear transformation 7 + AT is surjective,
then rank of A is equal to m.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c64b2f4-0559-408d-b944-b58285f996aa%2F818dc074-ec91-479f-a970-1f464da7f7a8%2Fi8j6ouke_processed.jpeg&w=3840&q=75)
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