If matrix C is obtained from 4 by the following row operations: Interchange rows 1 and 2, Multiply row 1 by constant. Add 3 tim d) row 1 to row 2. Calculate |C1.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3CEXP
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Let 4 and B be 2x2 matrices with |4| =-2, |B|= 4. Give the value of the
following. If there is not enough information for the calculation, state that.
a)
|4+ B|
b)
|3B|
c)
If matrix C is obtained from A by the following row operations:
Interchange rows 1 and 2, Multiply row 1 by constant , Add 3 time
d)
row 1 to row 2. Calculate |C|.
Transcribed Image Text:Let 4 and B be 2x2 matrices with |4| =-2, |B|= 4. Give the value of the following. If there is not enough information for the calculation, state that. a) |4+ B| b) |3B| c) If matrix C is obtained from A by the following row operations: Interchange rows 1 and 2, Multiply row 1 by constant , Add 3 time d) row 1 to row 2. Calculate |C|.
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