For each given vector space, identity the positive integer k such that the vector space is roughly "the same as" or "corresponds to" the vector space Rk. (Later we will make this correspondence more precise and call it "isomorphism.") The set M2X3 of 2x3 matrices with real entries, under the usual matrix addition and scalar multiplication. The Mm times n of m times n matrices with real entries. The set C = { |x, y, z epsilon R}. B = { |x, y, z epsilon R and x + y + z = 0}.
Show transcribed image textFor each given vector space, identity the positive integer k such that the vector space is roughly "the same as" or "corresponds to" the vector space Rk. (Later we will make this correspondence more precise and call it "isomorphism.") The set M2X3 of 2x3 matrices with real entries, under the usual matrix addition and scalar multiplication. The Mm times n of m times n matrices with real entries. The set C = { |x, y, z epsilon R}. B = { |x, y, z epsilon R and x + y + z = 0}.
