Let a be real symmetric and positive semidefinite. let α1 ≤ · · · ≤ αn be the eigenvalues of a. show that for any nonzero vector x ∈ rn, we have α1 ≤ ila xll / xll ≤ αn.

If the speed of an electromagnetic wave is 100,000 cm/s and its wavelength is 100 cm, what is its frequency? a) 100,000 cycles per second (hz) b) 1 × 10-3 cycles per second (hz) c) 10,000,000 cycles per second (hz) d) 1,000 cycles per second (hz)

Enter numbers to write 0.000328 0.000328 in scientific notation. 1 1 0.000328=3.28 × 0 . 000328 = 3 . 28 × =3.28×10 = 3 . 28 × 10

Simplify 24÷(-2)(3)+7 a. -29 b. 3 c. 11