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{(; ") x 5y Let S x, y E Q}. Under the usual matrix operations of addition and multiplication, Check ALL that are correct. Multiplication in S is commutative. S has an identity element under multiplication. S is a right ideal of M2(Q). S has nonzero elements A and B such that AB=0. Every nonzero element of S does not have a multiplicative inverse. S is a subring of M2(Q).

{(; ") x 5y Let S x, y E Q}. Under the usual matrix operations of addition and multiplication, Check ALL that are correct. Multiplication in S is commutative. S has an identity element under multiplication. S is a right ideal of M2(Q). S has nonzero elements A and B such that AB=0. Every nonzero element of S does not have a multiplicative inverse. S is a subring of M2(Q).

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
Problem 51EQ
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={(; ") x 5y Let S x, y E Q}. Under the usual matrix operations of addition and multiplication, Check ALL that are correct. Multiplication in S is commutative. S has an identity element under multiplication. S is a right ideal of M2(Q). S has nonzero elements A and B such that AB=0. Every nonzero element of S does not have a multiplicative inverse. S is a subring of M2(Q).
Transcribed Image Text:={(; ") x 5y Let S x, y E Q}. Under the usual matrix operations of addition and multiplication, Check ALL that are correct. Multiplication in S is commutative. S has an identity element under multiplication. S is a right ideal of M2(Q). S has nonzero elements A and B such that AB=0. Every nonzero element of S does not have a multiplicative inverse. S is a subring of M2(Q).
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