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?

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