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Math · Advanced Math
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7. Define the term linearly independent 8. Find a nonzero vector orthogonal to both <1,2,3> and <3,1,0>. For problems 9 through 14, answer True or False. 9. If A is a 3x3 matrix with determinant 3, then the determinant of2A is 6. 10. When testing a hypothesis about the standard deviation of a normal population, we should use the t-distribution when the sample size is less than 30. 11. If x is an eigenvector for a matrix A, then so is 2x 12. Two vectors in R are orthogonal if their cross product is 0 13. If we reject a hypothesis at a .01 level of significance, then we must also reject it at a .05 level of significance.
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