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math 54 quiz 8-1 truefalse justify your answer if u - v2 u2 v2 then u is orthgonal to v2 find the orthogonal
midterm 2- problem 1- consider the square matrixa calculate its characteristic polynomial and its eigenvaluesb find the
let t rn rarr rn be an invertible linear transformation and let s and u be functions from rn into rn such that s t x
some matrix programs such as matlab have a command to create hilbert matrices of various sizes if possible use an
show how to use the condition number of a matrix a to estimate the accuracy of a computed solution of ax b if the
unless otherwise specified assume that all matrices in these exercises are n x n determine which of the matrices in are
math 54 quiz 9-1 find a general solution to the differential equation y 8y 16y 02 solve the initial value problem y
math 54 quiz 10-1 state eulers identity solve for cosx and sinx in terms of eix and e-ix2 find a linear second-order
suppose memory or size restrictions prevent a matrix program from working with matrices having more than 32 rows and 32
for block operations it may be necessary to access or enter submatrices of a large matrix describe the functions or
suppose the block matrix a on the left side of 7 is invertible and a11 is invertible show that the schur complement s
math 54 quiz 11-nbsp1 express the given system of differential equations in matrix notationnbspx1 -2x2 x1 - 4x3nbspx2
provide a glimpse of some widely used matrix factorizations some of which are discussed later in the textsingular value
provide a glimpse of some widely used matrix factorizations some of which are discussed later in the textqr
provide a glimpse of some widely used matrix factorizations some of which are discussed later in the textrank
math 54 quiz 12-1 compute the fourier series for the function fx ex on the interval -pi pi2 use the method of
find formulas for x y and z in terms of a b and c and justify your calculations in some cases you may need to make
assume that the matrices are partitioned conformably for block multiplication compute the products shown
provide a glimpse of some widely used matrix factorizations some of which are discussed later in the textspectral
show that if three shunt circuits with resistances r1 r2 r3 are connected in series the resulting network has the same
math 54 quiz 13-1 find a general solution to the homogeneous equationddt 3 d2dt2 d4dt4 - 81y 02 letdetermine if x1 x2
math 54 quiz 12-1 find a particular solution to the following differential equationy 2y - 3y 3tet2 find the general
let a lu be an lu factorization explain why a can be row reduced to u using only replacement operations this fact is
math 54 quiz 11-1 find an orthogonal matrix p and a diagonal matrix d such that a pdp -1 where2 solve the initial
find an lu factorization of the matrices in with l unit lower triangular note that matlab will usually produce a