Problem 1ED: The only real number solutions to the equation x2=1 are x=1andx=1. (A) Show that A=0110 satisfies... Problem 2ED: (A) Suppose that the square matrix M has a row of all zeros. Explain why M has no inverse. (B)... Problem 3ED: The inverse of A=abcd is A1=dadbcbadbccadbcaadbc=1DdbcaD=adbc Provided that D0. (A) Use matrix... Problem 1MP: Multiply (a) 10012357and23571001 (b) 100010001423658and4236581001 Problem 2MP: Let M=311110101 (A) Form the augmented matrix MI. (B) Use row operations to transform MI into IB.... Problem 3MP: Find M1, given M=2612 Problem 4MP: Find N1,givenN=3162. Problem 5MP: The message below was also encoded with the matrix A in Example 5. Decode this message:... Problem 1E: In Problems 1-4, find the additive inverse and lies multiplicative inverse, if defined, of each real... Problem 2E: In Problems 1-4, find the additive inverse and lies multiplicative inverse, if defined, of each real... Problem 3E Problem 4E Problem 5E: In Problems 5-8, does the given matrix have a multiplicative inverse? Explain your answer. 25 Problem 6E: In Problems 5-8, does the given matrix have a multiplicative inverse? Explain your answer. 48 Problem 7E: In Problems 5-8, does the given matrix have a multiplicative inverse? Explain your answer. 0000 Problem 8E: In Problems 5-8, does the given matrix have a multiplicative inverse? Explain your answer. 1001 Problem 9E: In Problems 9-18, find the matrix products. Note that each product can be found mentally, without... Problem 10E: In Problems 9-18, find the matrix products. Note that each product can be found mentally, without... Problem 11E: In Problems 9-18, find the matrix products. Note that each product can be found mentally, without... Problem 12E: In Problems 9-18, find the matrix products. Note that each product can be found mentally, without... Problem 13E: In Problems 9-18, find the matrix products. Note that each product can be found mentally, without... Problem 14E: In Problems 9-18, find the matrix products. Note that each product can be found mentally, without... Problem 15E: In Problems 9-18, find the matrix products. Note that each product can be found mentally, without... Problem 16E: In Problems 9-18, find the matrix products. Note that each product can be found mentally, without... Problem 17E: In Problems 9-18, find the matrix products. Note that each product can be found mentally, without... Problem 18E: In Problems 9-18, find the matrix products. Note that each product can be found mentally, without... Problem 19E: In Problems 19-28, examine the product of the two matrices to determine if each is the inverse of... Problem 20E: In Problems 19-28, examine the product of the two matrices to determine if each is the inverse of... Problem 21E: In Problems 19-28, examine the product of the two matrices to determine if each is the inverse of... Problem 22E: In Problems 19-28, examine the product of the two matrices to determine if each is the inverse of... Problem 23E: In Problems 19-28, examine the product of the two matrices to determine if each is the inverse of... Problem 24E: In Problems 19-28, examine the product of the two matrices to determine if each is the inverse of... Problem 25E: In Problems 19-28, examine the product of the two matrices to determine if each is the inverse of... Problem 26E: In Problems 19-28, examine the product of the two matrices to determine if each is the inverse of... Problem 27E: In Problems 19-28, examine the product of the two matrices to determine if each is the inverse of... Problem 28E: In Problems 19-28, examine the product of the two matrices to determine if each is the inverse of... Problem 29E: Without performing any row operations, explain why each of the matrices in Problems 29-38 does not... Problem 30E: Without performing any row operations, explain why each of the matrices in Problems 29-38 does not... Problem 31E: Without performing any row operations, explain why each of the matrices in Problems 29-38 does not... Problem 32E: Without performing any row operations, explain why each of the matrices in Problems 29-38 does not... Problem 33E: Without performing any row operations, explain why each of the matrices in Problems 29-38 does not... Problem 34E: Without performing any row operations, explain why each of the matrices in Problems 29-38 does not... Problem 35E: Without performing any row operations, explain why each of the matrices in Problems 29-38 does not... Problem 36E: Without performing any row operations, explain why each of the matrices in Problems 29-38 does not... Problem 37E: Without performing any row operations, explain why each of the matrices in Problems 29-38 does not... Problem 38E: Without performing any row operations, explain why each of the matrices in Problems 29-38 does not... Problem 39E: Given M in Problems 39-48, Find M1 and show that M1M=I. 1031 Problem 40E: Given M in Problems 39-48, Find M1 and show that M1M=I. 1501 Problem 41E: Given M in Problems 39-48, Find M1 and show that M1M=I. 1213 Problem 42E: Given M in Problems 39-48, Find M1 and show that M1M=I. 2153 Problem 43E: Given M in Problems 39-48, Find M1 and show that M1M=I. 1327 Problem 44E: Given M in Problems 39-48, Find M1 and show that M1M=I. 2111 Problem 45E: Given M in Problems 39-48, Find M1 and show that M1M=I. 130011214 Problem 46E: Given M in Problems 39-48, Find M1 and show that M1M=I. 230123015 Problem 47E: Given M in Problems 39-48, Find M1 and show that M1M=I. 110231102 Problem 48E: Given M in Problems 39-48, Find M1 and show that M1M=I. 101210112 Problem 49E: Find the inverse of each matrix in Problems 49-56, if it exists 4332 Problem 50E: Find the inverse of each matrix in Problems 49-56, if it exists 4354 Problem 51E: Find the inverse of each matrix in Problems 49-56, if it exists 2639 Problem 52E: Find the inverse of each matrix in Problems 49-56, if it exists 2436 Problem 53E: Find the inverse of each matrix in Problems 49-56, if it exists 2143 Problem 54E: Find the inverse of each matrix in Problems 49-56, if it exists 5322 Problem 55E: Find the inverse of each matrix in Problems 49-56, if it exists 31535 Problem 56E: Find the inverse of each matrix in Problems 49-56, if it exists 510224 Problem 57E: In Problems 57-60, find the inverse. Note that each inverse be found mentally, without the use of a... Problem 58E: In Problems 57-60, find the inverse. Note that each inverse be found mentally, without the use of a... Problem 59E: In Problems 57-60, find the inverse. Note that each inverse be found mentally, without the use of a... Problem 60E: In Problems 57-60, find the inverse. Note that each inverse be found mentally, without the use of a... Problem 61E: Find the inverse of each matrix in Problems 61-68, If it exists 522210101 Problem 62E: Find the inverse of each matrix in Problems 61-68, If it exists 224111101 Problem 63E: Find the inverse of each matrix in Problems 61-68, If it exists 211110110 Problem 64E: Find the inverse of each matrix in Problems 61-68, If it exists 110211011 Problem 65E: Find the inverse of each matrix in Problems 61-68, If it exists 122430404 Problem 66E: Find the inverse of each matrix in Problems 61-68, If it exists 422420505 Problem 67E: Find the inverse of each matrix in Problems 61-68, If it exists 212428621 Problem 68E: Find the inverse of each matrix in Problems 6168, If it exists 11433222119 Problem 69E: Show that A11=Afor;A=4332 Problem 70E: Show that AB1=B1A1for A=4332andB=2537 Problem 71E: Discuss the existence of M1 for 22 diagonal matrices of the form M=a00d Generalize your conclusions... Problem 72E: Discuss the existence of M1for22 for upper triangular matrices of the form M=ab0d Generalize your... Problem 73E Problem 74E: In Problems 73-75, find A1 and A2. 5465 Problem 75E: In Problems 73-75, find A1 and A2. 5385 Problem 76E: Based on your observations in Problems 73-75, if A=A1 for a square matrix A, what is A2 ? Give a... Problem 77E: Problems 77-80 refer to the encoding matrix A=1213 Cryptography. Encode the message... Problem 78E: Problems 77-80 refer to the encoding matrix A=1213 Cryptography. Encode the message... Problem 79E: Problems 77-80 refer to the encoding matrix A=1213 Cryptography. The following message was encoded... Problem 80E: Problems 77-80 refer to the encoding matrix A=1213 Cryptography. The following message was encoded... Problem 81E: Problems 81-84 require the use of a graphing calculator or computer. Use the 44 encoding matrix B... Problem 82E: Problems 81-84 require the use of a graphing calculator or computer. Use the 44 encoding matrix B... Problem 83E: Problems 81-84 require the use of a graphing calculator or computer. Use the 44 encoding matrix B... Problem 84E: Problems 81-84 require the use of a graphing calculator or computer. Use the 44 encoding matrix B... Problem 85E: Problems 85-88 require the use of a graphing calculator or a computer. Use the 55 encoding matrix C... Problem 86E: Problems 85-88 require the use of a graphing calculator or a computer. Use the 55 encoding matrix C... Problem 87E: Problems 85-88 require the use of a graphing calculator or a computer. Use the 55 encoding matrix C... Problem 88E: Problems 85-88 require the use of a graphing calculator or a computer. Use the 55 encoding matrix C... format_list_bulleted