13) Let V denote the set of ordered pairs of real numbers. If (a,, az) and (b1, b2) are elements of V and c E R, define (a1, a2) + (b1, b2) = (a1 + b1, azb2) and c(a1, a2) = (ca,, a2). Is V a vector...


Linear Algebra Question



13) Let V denote the set of ordered pairs of real numbers. If (a,, az) and (b1, b2) are elements of<br>V and c E R, define<br>(a1, a2) + (b1, b2) = (a1 + b1, azb2) and c(a1, a2) = (ca,, a2).<br>Is V a vector space over R with these operations? Justify your answer<br>

Extracted text: 13) Let V denote the set of ordered pairs of real numbers. If (a,, az) and (b1, b2) are elements of V and c E R, define (a1, a2) + (b1, b2) = (a1 + b1, azb2) and c(a1, a2) = (ca,, a2). Is V a vector space over R with these operations? Justify your answer

Jun 11, 2022
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