Determine the Dimension of the Subspace S of Consisting

question 4

Essay

Determine the dimension of the subspace S of consisting of all matrices whose trace is 0.

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Definitions:

Parietal Bone

One of two bones forming the sides and roof of the cranium.

Temporal Bone

A pair of bones forming part of the side of the skull, housing structures of the ear and contributing to the cranial cavity's protection.

Ethmoid Bone

A spongy bone located between the eyes that contributes to the medial walls of the orbits, the roof of the nasal cavity, and the nasal septum.

Epiphysis

The expanded end of a long bone.