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1. Consider the linear system x+ y+ z = 2 r+ 2y + z = b -r+ 2y + az = 1 (a) For which values of a and b will the three planes intersect at a point? (b) For which values of a and b will the three planes intersect at a line? (c) For which values of a and b will the three planes intersect in a plane? (d) For which values of a and b will the three planes share no points of intersection?

1. Consider the linear system x+ y+ z = 2 r+ 2y + z = b -r+ 2y + az = 1 (a) For which values of a and b will the three planes intersect at a point? (b) For which values of a and b will the three planes intersect at a line? (c) For which values of a and b will the three planes intersect in a plane? (d) For which values of a and b will the three planes share no points of intersection?

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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answer a,b,c, and d

1. Consider the linear system x + y+ z = 2 x+ 2y + z = b . -x+ 2y + az = 1 (a) For which values of a and b will the three planes intersect at a point? (b) For which values of a and b will the three planes intersect at a line? (c) For which values of a and b will the three planes intersect in a plane? (d) For which values of a and b will the three planes share no points of intersection?
Transcribed Image Text:1. Consider the linear system x + y+ z = 2 x+ 2y + z = b . -x+ 2y + az = 1 (a) For which values of a and b will the three planes intersect at a point? (b) For which values of a and b will the three planes intersect at a line? (c) For which values of a and b will the three planes intersect in a plane? (d) For which values of a and b will the three planes share no points of intersection?
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