A square matix AS is a called singular if det A is (A) negative (B) zero (C) positive (D) non-zero

A square matix A is called idempotent if (A) A^2=0 (B) A^2=I (C) A^2=A (D) 2A=I

Each diagonal element of a skew symmetric matrix is (A) zero (B) negative (C) positive (D) non real

If the equation ax^(2)+25x-3c=0 has non real roots and (3c)/4lt(a+b), then c is always (A) Negative (B) 0(C) Non-negative (D) zero

Which of the following statement are true? (i) The product of a positive and negative integer is negative. (ii) The product of three negative integers is a negative integer. (iii) Of the two integers, if one is negative, then their product must be positive. (iv) For all non-zero integers a and b , axxb is always greater than either a or b. (v) The product of a negative and a positive integer may be zero. (vi) There does not exist an integer b such that for a gt1, axxb=bxxa=b.

Positive And Negative Zero Error

If A,B and C be the three square matrices such that A=B+C then det A is necessarily equal to (A) detB (B) det C (C) det B+detC (D) none of these

If a,b,c are sides of a scalene triangle,then value of |abcbcacab| is (a)positive (b) negative (c)non-positive (d) non-negative

If is a non-singular matrix, then det (A^(1))=

If A is a square matrix of order 2, then det(-3A) is A) 3 det A B) -3 det A C) 9 det A D) -9 det A