Question

(Note: Each problem is worth 10 points). 1. Find the standard matrix for the linear transformation T: that first reflects points through the horizontal L-axis and then reflects points - through the vertical y-axis. 2. Show that the linear transformation T: R - R whose standard [ 2011 matrix is A= is onto but not one-to-one. - R$ whose standard 3. Show that the linear transformation T: R 0 1 matrix is A = 1 1 lov Lool is one-to-one but not onto. 2RE 2: 4. Solve for the loop currents in the following circuit: Intion moves to the subu The city. If

Answer 1

1.0 Acid - An acid is a molecule or ion capable of donating a proton, or, alternatively, capable of forming a covalent bond with an electron pair . Acids in solution have a pH below 7.0, a sour taste, releases hydroxyl ions in water,

and turn litmus paper "red. "

2.0 Base -  a base is a chemical species that donates electrons, accepts protons, or releases hydroxide (OH-) ions in aqueous solution.  turn red litmus paper "blue"

3.0 Indicators are the substances which indicate by change in color, the completion of the chemical reaction. ... All indicators show change in color over some pH range which varies considerably from one indicator to another. so basically  Indicators are substances whose solutions change color due to changes in pH

4.0   Acid-Base Reactions. When an acid and a base are placed together, they react to neutralize the acid and base properties, producing a salt. The H(+) cation of the acid combines with the OH(-) anion of the base to form water. The compound formed by the cation of the base and the anion of the acid is called a salt. and the example we all know HCl (aq)+NaOH (aq)→H2O (l)+NaCl .