Question #47d0a Precalculus Matrix Algebra Multiplication of Matrices 1 Answer Cesareo R. Mar 15, 2017 See below. Explanation: If #A# and #B# are non null hermitian then #"tr"(A^2) > 0# and #"tr"(B^2) > 0# so #"tr"(A^2) +"tr"(B^2) >0# so if #A^2+B^2=0->A=0,B=0# Answer link Related questions What is multiplication of matrices? How do I do multiplication of matrices? What is scalar multiplication of matrices? What are some sample matrix multiplication problems? How do I multiply the matrix #((6, 4, 24),(1, -9, 8))# by 4? How do I multiply the matrix #((3, 0, -19),(0, 7, 1), (1, 1/5, 2/3))# by -6? How do I multiply the matrix #((6, 4, 24),(1, -9, 8))# by the matrix #((1, 5, 0), (3, -6, 2))#? Is matrix multiplication associative? If #A=((-4, 5),(3, 2))# and #B=((-6, 2), (1/2, 3/4))#, what is #AB#? In matrix multiplication, does ABC=ACB? See all questions in Multiplication of Matrices Impact of this question 1425 views around the world You can reuse this answer Creative Commons License