B. 5 C. 8 D. 16" class="read-more button" href="https://exam.pscnotes.com/mcq/let-a-be-an-m-a%c2%97-n-matrix-and-ban-n-a%c2%97-m-matrix-it-is-given-that-determinant-im-ab-determinant-in-ba-where-ik-is-the-k-a%c2%97-k-identity-matrix-using-the-above-prop/#more-20117">Detailed SolutionLet A be an m à n matrix and Ban n à m matrix. It is given that determinant ($$I$$m + AB) = determinant ($$I$$n + BA), where $$I$$k is the k à k identity matrix. Using the above property, the determinant of the matrix given below is \[\left[ {\begin{array}{*{20}{c}} 2&1&1&1 \\ 1&2&1&1 \\ 1&1&2&1 \\ 1&1&1&2 \end{array}} \right]\] A. 2 B. 5 C. 8 D. 16
C. are 0 and 5 D. cannot be determined" class="read-more button" href="https://exam.pscnotes.com/mcq/the-eigen-values-of-the-matrix-left-beginarray20c-4-2-21-endarray-right-a-are-1-and-4-b-are-1-and-2-c-are-0-and-5-d-cannot-be-determined/#more-20115">Detailed SolutionThe eigen values of the matrix \[\left[ {\begin{array}{*{20}{c}} 4&{ – 2} \\ { – 2}&1 \end{array}} \right]\] A. are 1 and 4 B. are -1 and 2 C. are 0 and 5 D. cannot be determined
but sign will not change D. Both absolute value and sign will remain unchanged" class="read-more button" href="https://exam.pscnotes.com/mcq/if-any-two-columns-of-a-determinant-textp-left-beginarray20c-478-315-962-endarray-right-are-interchanged-which-one-of-the-following-statements-reg/#more-20114">Detailed SolutionIf any two columns of a determinant \[{\text{P}} = \left| {\begin{array}{*{20}{c}} 4&7&8 \\ 3&1&5 \\ 9&6&2 \end{array}} \right|\] are interchanged, which one of the following statements regarding
the value of the determinant is CORRECT? A. Absolute value remains unchanged but sign will change B. Both absolute value and sign will change C. Absolute value will change but sign will not change D. Both absolute value and sign will remain unchanged
= SS? A. 1 and 25 B. 6 and 4 C. 5 and 1 D. 2 and 10" class="read-more button" href="https://exam.pscnotes.com/mcq/eigen-values-of-a-matrix-texts-left-beginarray20c-32-23-endarray-right-are-5-and-1-what-are-the-eigen-values-of-the-matrix-s2-ss-a-1-and-25-b-6-and-4/#more-20113">Detailed SolutionEigen values of a matrix \[{\text{S}} = \left[ {\begin{array}{*{20}{c}} 3&2 \\ 2&3 \end{array}} \right]\] are 5 and 1. What are the eigen values of the matrix S2 =
exists B. Eigen value 3 has a multiplicity of 2, and two independent eigen vector exists C. Eigen value 3 has a multiplicity of 2, and no independent eigen vector exists D. Eigen value are 3 and -3, and two independent eigen vectors exist
11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z"/> Subscribe on YouTube D. S3 implies S2" class="read-more button" href="https://exam.pscnotes.com/mcq/let-m-be-a-real-4-a%c2%97-4-matrix-consider-the-following-statements-s1-m-has-4-linearly-independent-eigenvectors-s2-m-has-4-distinct-eigenvalues-s3-m-is-non-singular-invertible-which-one-am/#more-20111">Detailed SolutionLet M be a real 4 Ã 4 matrix. Consider the following statements: S1: M has 4 linearly independent eigenvectors. S2: M has 4 distinct eigenvalues. S3: M is non-singular (invertible). Which one among the following is TRUE? A. S1 implies S2 B. S1 implies S3 C. S2 implies S1 D. S3 implies S2
respectively. What is the other eigen value? A. 5 B. 3 C. 1 D. -1" class="read-more button" href="https://exam.pscnotes.com/mcq/the-minimum-and-the-maximum-eigen-values-of-the-matrix-left-beginarray20c-113-151-311-endarray-right-are-2-and-6-respectively-what-is-the-other-eigen-va/#more-20109">Detailed SolutionThe minimum and the maximum eigen values of the matrix \[\left[ {\begin{array}{*{20}{c}} 1&1&3 \\ 1&5&1 \\ 3&1&1 \end{array}} \right]\] are -2 and 6, respectively. What is the other eigen value? A. 5 B. 3 C. 1 D. -1
448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z"/> Subscribe on YouTube C. AA’A = $$I$$ D. AA’A = A’" class="read-more button" href="https://exam.pscnotes.com/mcq/a-is-m-a%c2%97-n-full-rank-matrix-with-m-n-and-i-is-an-identity-matrix-let-matrix-a-ata-1at-then-which-one-of-the-following-statement-is-true-a-aa-a-a-b-aa2-a-c-aaa/#more-20108">Detailed SolutionA is m à n full rank matrix with m > n and $$I$$ is an identity matrix. Let matrix A’ = (ATA)-1AT, Then, which one of the following statement is TRUE? A. AA’ A = A B. (AA’)2 = A C. AA’A = $$I$$ D. AA’A = A’