{(; ") 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).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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