Prove that there exists a countable basis for the product space R2022
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- 44. Consider the set of all matrices of the form, where and are real numbers, with the same rules for addition and multiplication as in. a. Show that is a ring that does not have a unity. b. Show that is not a commutative ring.An element in a ring is idempotent if . Prove that a division ring must contain exactly two idempotent e elements.