1)For all u, v E R^3, we have u . (u x v) = 0 2)For all vectors x, y E R^2, we h

ID: 3345905 • Letter: 1

Question

1)For all u, v E R^3, we have u . (u x v) = 0

2)For all vectors x, y E R^2, we have proj x = proj y?

3)If there are more variables than equations in a system of linear equations, then there can NOT be a unique solution to the system?

4)If the m x n matrix A is a row equivalent to B, then Row (A)=Row (B)?

5)If A and B are upper triangulr matrices, then A+B is an upper triangular matrix?

6)If A, B and C are all n x n matrices, and if AB=AC, then B=C?

7)If A is an invertible matrix, then rank (A ^-1)=1/rank(A)?

8)[1 0 2pi]

[0 1 0] is an elementary matrix?

[0 0 1]

9)Suppose that A is an n x n matrix and that B i obtained from a by adding r times the first row of A to the second row of A. Then det B= r det A?

10)Suppose that A is an invertible matrix. Then A^T is also invertible, and (A^T)^-1=(A^-1)^T?

1. true

2. true

3.true

4.true

5.true

6.false

7.false

8.false

9.false

10.true

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