Linear Algebra And Its Applications
6th Edition
ISBN: 9780135851258
Author: Lay, David C., Steven R., MCDONALD, Judith
Publisher: Pearson,
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6.
Consider the matrices
G =
0
(3)
-3\
-3
2
and H =
-1
2
0
5
0
5
5
noting that H(:, 3) = 2H(:,1) + H(:, 2).
Is G invertible? Explain your answer.
Is H invertible? Explain your answer.
Use co-factor expansion to find the determinant of H. (Hint:
expand the 2nd or 3rd row)
For the matrix
A =
= ( 6 }) .
explicitly compute by hand (with work shown) the following.
I2A, where I2 is the 2 × 2 identity matrix.
A-1
solving the following linear systems by using A-¹:
c+y= 1
y = 1
(d)
(e)
(f)
A²
find the diagonal entries of A
If 3x−y=12, what is the value of 8x / 2y
A) 212B) 44C) 82D) The value cannot be determined from the information given.
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