Select one: O O O 01 0 (23) (8 1) 0 1 01 0 9) 1 1 0 00 (11) (10) (1)-(); (²) ?
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- Evaluate ∫dx/(x - 1)2/3We can use the eigenvalues and eigenvectors of ATA to express A = UΣVT as the multi- plication of three matrices U, Σ and V. The matrix Σ = 8) is a "diagonal" matrix consisting of oi's called the singular values. The values o; are formed by the square root of the positive eigenvalues of AT A ordered in decreasing order. 01 0 0 02 = • The matrix V consists of columns vectors ; called right singular vectors of A. The vectors ;'s are eigenvectors of AT A normalised so that ||vi|| 1 with respect to the standard inner product on R³. The ordering of 7; should be the same as that for σ¿. • The matrix U consists of columns vectors u¡ called left singular vectors of A. If defined, the vectors u¡ can be extracted by the identity u¡j Av. (Note: In the next part, we will show that this identity is applicable for a more general m × n matrix). Evaluate the matrices U, Σ, and V for A and validate that A = UΣVT. = σjAt the end of each month starting january 2022, you deposit R dollars into an account that earns intrest at a rate of 1% per month Which of the following expressions represents how much the account has on june 1, 2022 A) R(1+(1.01)+(1.01)^2+(1.01)^3+(1.01)^4) B)5R C)R(1.01)^4 D)R/0.01