29. Consider the matrix A- [1]. (a) Find a matrix B so that the product AB is equal to the 2 x 2 identity matrix. (b) Calculate BA. What do you notice? (c) Suppose that x is a vector in R2. If Ax = 2 AR then what was x? 3 (d) Suppose that y is a vector in R2. If By = then what was y?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 14E
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29. Consider the matrix
A- [1].
(a) Find a matrix B so that the product AB is equal to the 2 x 2 identity matrix.
(b) Calculate BA. What do you notice?
(c) Suppose that x is a vector in R2. If Ax =
2
AR
then what was x?
3
(d) Suppose that y is a vector in R2. If By =
then what was y?
Transcribed Image Text:29. Consider the matrix A- [1]. (a) Find a matrix B so that the product AB is equal to the 2 x 2 identity matrix. (b) Calculate BA. What do you notice? (c) Suppose that x is a vector in R2. If Ax = 2 AR then what was x? 3 (d) Suppose that y is a vector in R2. If By = then what was y?
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