1.4.5 Let a,..., a, be n linearly independent vectors in R". Prove that if a vector b in R" orthogonal to all the vectors a1,., an, then b = 0. 1.5.1(e) For the following matrix, find the eigenvalues and also those eigenvectors that corre spond to the real eigenvalues: 2 1-1 0 1 20-2 1.5.7 Suppose A is a square matrix and let A be an eigenvalue of A. Prove that if det A # 0, then A# 0. In this case show that 1/A is an eigenvalue of the inverse A 1.6.1(b,c) Is given matrix diagonalizable? If so, what are the corresponding matrices P and D? 1 10 1 1 0 0 02 1 3 4 310 4 01

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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.