If A and B are two given square matrices then show that(1) B'AB is symmetric if A is symmetric,(ii) B'AB is skew-symmetric if A is skew symmetric.

If A and B are two given square matrices then show that (1)B backslash AB is symmetric if A is symmetric,(ii) B backslash AB is skew-symmetric if A is skew symmetric.

If A is a square matrix, then (1) A A' is symmetric (3) A'A is skew - symmetric (2) A A' is skew - symmetric (4) A^2 is symmetric

Show that the matrix B'AB is symmetric or skew symmetric according as A is symmetric or skew symmetric.

Show that the matrix B'AB is symmetric or skew symmetric according as A is symmetric or skew symmetric.

Show that the matrix B'AB is symmetric or skew symmetric according as A is symmetric or skew symmetric.

Show that the matrix B'AB is symmetric or skew symmetric according as A is symmetric or skew symmetric.

Show that the matrix B'AB is symmetric or skew symmetric according as A is symmetric or skew symmetric .

Let A be a square matrix and k be a scalar. Prove that (i) If A is symmetric, then kA is symmetric. (ii) If A is skew-symmetric, then kA is skew-symmetric.

If A and B are symmetric matrices of the same order then (A) A-B is skew symmetric (B) A+B is symmetric (C) AB-BA is skew symmetric (D) AB+BA is symmetric

If A and B are symmetric matrices of the same order then (A) A-B is skew symmetric (B) A+B is symmetric (C) AB-BA is skew symmetric (D) AB+BA is symmetric